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101123131434 = 231349913011997
BaseRepresentation
bin101111000101101101…
…0001000100000101010
3100200000110000022221020
41132023122020200222
53124100010201214
6114242203353310
710206632302113
oct1361332104052
9320013008836
10101123131434
113998240a3a6
1217721b22836
1396c73cbc60
144c742a120a
15296cb3e4a9
hex178b68882a

101123131434 has 64 divisors (see below), whose sum is σ = 218517264000. Its totient is φ = 31013049600.

The previous prime is 101123131429. The next prime is 101123131451. The reversal of 101123131434 is 434131321101.

It is a happy number.

It is a super-2 number, since 2×1011231314342 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50636524 + ... + 50638520.

It is an arithmetic number, because the mean of its divisors is an integer number (3414332250).

Almost surely, 2101123131434 is an apocalyptic number.

101123131434 is an abundant number, since it is smaller than the sum of its proper divisors (117394132566).

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

101123131434 is a wasteful number, since it uses less digits than its factorization.

101123131434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3815.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 101123131434 its reverse (434131321101), we get a palindrome (535254452535).

The spelling of 101123131434 in words is "one hundred one billion, one hundred twenty-three million, one hundred thirty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 13 26 39 78 499 998 1301 1497 1997 2602 2994 3903 3994 5991 6487 7806 11982 12974 16913 19461 25961 33826 38922 50739 51922 77883 101478 155766 649199 996503 1298398 1947597 1993006 2598097 2989509 3895194 5196194 5979018 7794291 8439587 12954539 15588582 16879174 25318761 25909078 33775261 38863617 50637522 67550522 77727234 101325783 202651566 1296450403 2592900806 3889351209 7778702418 16853855239 33707710478 50561565717 101123131434