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421100120 = 235721811187
BaseRepresentation
bin11001000110010…
…111101001011000
31002100101002202202
4121012113221120
51330300200440
6105441345332
713302202100
oct3106275130
91070332682
10421100120
111a6777831
12b9038248
136931b68c
143dcd8200
1526e80615
hex19197a58

421100120 has 96 divisors (see below), whose sum is σ = 1109188080. Its totient is φ = 143458560.

The previous prime is 421100117. The next prime is 421100171. The reversal of 421100120 is 21001124.

It is a super-2 number, since 2×4211001202 = 354650622128028800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 354167 + ... + 355353.

Almost surely, 2421100120 is an apocalyptic number.

421100120 is a gapful number since it is divisible by the number (40) 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 421100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554594040).

421100120 is an abundant number, since it is smaller than the sum of its proper divisors (688087960).

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

421100120 is a wasteful number, since it uses less digits than its factorization.

421100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 421100120 is about 20520.7241587620. The cubic root of 421100120 is about 749.5405304263.

Adding to 421100120 its reverse (21001124), we get a palindrome (442101244).

The spelling of 421100120 in words is "four hundred twenty-one million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 181 196 245 280 362 392 490 724 905 980 1187 1267 1448 1810 1960 2374 2534 3620 4748 5068 5935 6335 7240 8309 8869 9496 10136 11870 12670 16618 17738 23740 25340 33236 35476 41545 44345 47480 50680 58163 66472 70952 83090 88690 116326 166180 177380 214847 232652 290815 332360 354760 429694 465304 581630 859388 1074235 1163260 1503929 1718776 2148470 2326520 3007858 4296940 6015716 7519645 8593880 10527503 12031432 15039290 21055006 30078580 42110012 52637515 60157160 84220024 105275030 210550060 421100120