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101233420434 = 236127954287
BaseRepresentation
bin101111001000111111…
…0110110100010010010
3100200022010112121000000
41132101332312202102
53124311223423214
6114301143310430
710212441606306
oct1362176664222
9320263477000
10101233420434
1139a29699133
1217752a4b416
139714205a13
144c84badd06
152977677809
hex1791fb6892

101233420434 has 56 divisors (see below), whose sum is σ = 227853250560. Its totient is φ = 33717468888.

The previous prime is 101233420399. The next prime is 101233420439. The reversal of 101233420434 is 434024332101.

101233420434 is a `hidden beast` number, since 1 + 0 + 1 + 233 + 420 + 4 + 3 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 101233420398 and 101233420407.

It is not an unprimeable number, because it can be changed into a prime (101233420439) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1837639 + ... + 1891925.

Almost surely, 2101233420434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101233420434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113926625280).

101233420434 is an abundant number, since it is smaller than the sum of its proper divisors (126619830126).

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

101233420434 is an equidigital number, since it uses as much as digits as its factorization.

101233420434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55586 (or 55571 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 101233420434 its reverse (434024332101), we get a palindrome (535257752535).

The spelling of 101233420434 in words is "one hundred one billion, two hundred thirty-three million, four hundred twenty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1279 1458 2558 3837 7674 11511 23022 34533 54287 69066 103599 108574 162861 207198 310797 325722 488583 621594 932391 977166 1465749 1864782 2931498 4397247 8794494 13191741 26383482 39575223 69433073 79150446 138866146 208299219 416598438 624897657 1249795314 1874692971 3749385942 5624078913 11248157826 16872236739 33744473478 50616710217 101233420434