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100223041120 = 2552712311417
BaseRepresentation
bin101110101010111000…
…0100011111001100000
3100120200201100000010221
41131111300203321200
53120224044303440
6114013011332424
710145422536106
oct1352560437140
9316621300127
10100223041120
1139560326204
12175105b1114
1395b2aa3437
144bca91dc76
152918ae5d4a
hex1755c23e60

100223041120 has 48 divisors (see below), whose sum is σ = 237650753088. Its totient is φ = 39941268480.

The previous prime is 100223041111. The next prime is 100223041169. The reversal of 100223041120 is 21140322001.

It is a super-3 number, since 3×1002230411203 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 100223041094 and 100223041103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1112349 + ... + 1199068.

It is an arithmetic number, because the mean of its divisors is an integer number (4951057356).

Almost surely, 2100223041120 is an apocalyptic number.

100223041120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100223041120 is an abundant number, since it is smaller than the sum of its proper divisors (137427711968).

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

100223041120 is a wasteful number, since it uses less digits than its factorization.

100223041120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2311703 (or 2311695 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 100223041120 its reverse (21140322001), we get a palindrome (121363363121).

The spelling of 100223041120 in words is "one hundred billion, two hundred twenty-three million, forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 271 542 1084 1355 2168 2710 4336 5420 8672 10840 21680 43360 2311417 4622834 9245668 11557085 18491336 23114170 36982672 46228340 73965344 92456680 184913360 369826720 626394007 1252788014 2505576028 3131970035 5011152056 6263940070 10022304112 12527880140 20044608224 25055760280 50111520560 100223041120