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20711100 = 223521731131
BaseRepresentation
bin100111100000…
…0011010111100
31102222020021210
41033000122330
520300223400
62015524420
7341020134
oct117003274
942866253
1020711100
1110766613
126b29710
1343a1cb7
142a71ac4
151c41950
hex13c06bc

20711100 has 144 divisors (see below), whose sum is σ = 65995776. Its totient is φ = 4992000.

The previous prime is 20711099. The next prime is 20711123. The reversal of 20711100 is 111702.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158035 + ... + 158165.

It is an arithmetic number, because the mean of its divisors is an integer number (458304).

Almost surely, 220711100 is an apocalyptic number.

20711100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20711100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32997888).

20711100 is an abundant number, since it is smaller than the sum of its proper divisors (45284676).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20711100 is a wasteful number, since it uses less digits than its factorization.

20711100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 12.

The square root of 20711100 is about 4550.9449568194. The cubic root of 20711100 is about 274.6214074053.

Adding to 20711100 its reverse (111702), we get a palindrome (20822802).

The spelling of 20711100 in words is "twenty million, seven hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 31 34 50 51 60 62 68 75 85 93 100 102 124 131 150 155 170 186 204 255 262 300 310 340 372 393 425 465 510 524 527 620 655 775 786 850 930 1020 1054 1275 1310 1550 1572 1581 1700 1860 1965 2108 2227 2325 2550 2620 2635 3100 3162 3275 3930 4061 4454 4650 5100 5270 6324 6550 6681 7860 7905 8122 8908 9300 9825 10540 11135 12183 13100 13175 13362 15810 16244 19650 20305 22270 24366 26350 26724 31620 33405 39300 39525 40610 44540 48732 52700 55675 60915 66810 69037 79050 81220 101525 111350 121830 133620 138074 158100 167025 203050 207111 222700 243660 276148 304575 334050 345185 406100 414222 609150 668100 690370 828444 1035555 1218300 1380740 1725925 2071110 3451850 4142220 5177775 6903700 10355550 20711100