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100441430331 = 31143531335533
BaseRepresentation
bin101110110001011000…
…1101001100100111011
3100121020221021022211020
41131202301221210323
53121201001232311
6114050412233523
710154014033254
oct1354261514473
9317227238736
10100441430331
1139662629260
121757176b8a3
1396190c8918
144c0b92bb2b
15292cd83c06
hex1762c6993b

100441430331 has 32 divisors (see below), whose sum is σ = 152314981632. Its totient is φ = 58336037760.

The previous prime is 100441430329. The next prime is 100441430339. The reversal of 100441430331 is 133034144001.

It is not a de Polignac number, because 100441430331 - 21 = 100441430329 is a prime.

It is a super-2 number, since 2×1004414303312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100441430339) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 592560 + ... + 742973.

It is an arithmetic number, because the mean of its divisors is an integer number (4759843176).

Almost surely, 2100441430331 is an apocalyptic number.

100441430331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100441430331 is a deficient number, since it is larger than the sum of its proper divisors (51873551301).

100441430331 is a wasteful number, since it uses less digits than its factorization.

100441430331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335643.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 100441430331 its reverse (133034144001), we get a palindrome (233475574332).

The spelling of 100441430331 in words is "one hundred billion, four hundred forty-one million, four hundred thirty thousand, three hundred thirty-one".

Divisors: 1 3 11 33 43 53 129 159 473 583 1419 1749 2279 6837 25069 75207 1335533 4006599 14690863 44072589 57427919 70783249 172283757 212349747 631707109 778615739 1895121327 2335847217 3043679707 9131039121 33480476777 100441430331