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141123211100 = 225213916196271
BaseRepresentation
bin1000001101101110011…
…0010100111101011100
3111111021010012220201022
42003123212110331130
54303010020223400
6144455304103312
713124110334144
oct2033346247534
9444233186638
10141123211100
1154939412283
1223425a64b38
13104004ab851
146b8a88d924
153a0e63eb85
hex20db994f5c

141123211100 has 72 divisors (see below), whose sum is σ = 308680243200. Its totient is φ = 55999627200.

The previous prime is 141123211093. The next prime is 141123211139. The reversal of 141123211100 is 1112321141.

It is a super-2 number, since 2×1411232111002 (a number of 23 digits) 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, 22500965 + ... + 22507235.

It is an arithmetic number, because the mean of its divisors is an integer number (4287225600).

Almost surely, 2141123211100 is an apocalyptic number.

141123211100 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 141123211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154340121600).

141123211100 is an abundant number, since it is smaller than the sum of its proper divisors (167557032100).

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

141123211100 is a wasteful number, since it uses less digits than its factorization.

141123211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8043 (or 8036 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 141123211100 its reverse (1112321141), we get a palindrome (142235532241).

The spelling of 141123211100 in words is "one hundred forty-one billion, one hundred twenty-three million, two hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 139 278 556 695 1390 1619 2780 3238 3475 6271 6476 6950 8095 12542 13900 16190 25084 31355 32380 40475 62710 80950 125420 156775 161900 225041 313550 450082 627100 871669 900164 1125205 1743338 2250410 3486676 4358345 4500820 5626025 8716690 10152749 11252050 17433380 20305498 21791725 22504100 40610996 43583450 50763745 87166900 101527490 203054980 253818725 507637450 1015274900 1411232111 2822464222 5644928444 7056160555 14112321110 28224642220 35280802775 70561605550 141123211100