[go: up one dir, main page]

Search a number
-
+
122013400 = 23521314657
BaseRepresentation
bin1110100010111…
…00011011011000
322111120220220211
413101130123120
5222213412100
620035100504
73011045125
oct721343330
9274526824
10122013400
1162967523
1234a41734
131c3804a2
14122c174c
15aaa21ba
hex745c6d8

122013400 has 48 divisors (see below), whose sum is σ = 285908040. Its totient is φ = 48422400.

The previous prime is 122013389. The next prime is 122013407. The reversal of 122013400 is 4310221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122013407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23872 + ... + 28528.

Almost surely, 2122013400 is an apocalyptic number.

122013400 is a gapful number since it is divisible by the number (10) 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 122013400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142954020).

122013400 is an abundant number, since it is smaller than the sum of its proper divisors (163894640).

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

122013400 is a wasteful number, since it uses less digits than its factorization.

122013400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4804 (or 4795 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 122013400 is about 11045.9675900303. The cubic root of 122013400 is about 495.9857240948.

Adding to 122013400 its reverse (4310221), we get a palindrome (126323621).

The spelling of 122013400 in words is "one hundred twenty-two million, thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 131 200 262 524 655 1048 1310 2620 3275 4657 5240 6550 9314 13100 18628 23285 26200 37256 46570 93140 116425 186280 232850 465700 610067 931400 1220134 2440268 3050335 4880536 6100670 12201340 15251675 24402680 30503350 61006700 122013400