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101432043432 = 2332672313829
BaseRepresentation
bin101111001110111010…
…0100010011110101000
3100200210222021200112100
41132131310202132220
53130213100342212
6114333000413400
710220403100146
oct1363564423650
9320728250470
10101432043432
113a020820575
12177a9477260
1397463ca315
144ca3314596
152989d0dbdc
hex179dd227a8

101432043432 has 72 divisors (see below), whose sum is σ = 278874045450. Its totient is φ = 33305937984.

The previous prime is 101432043373. The next prime is 101432043451. The reversal of 101432043432 is 234340234101.

101432043432 is a `hidden beast` number, since 10 + 14 + 3 + 204 + 3 + 432 = 666.

It can be written as a sum of positive squares in only one way, i.e., 83078838756 + 18353204676 = 288234^2 + 135474^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1014320434322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101432043396 and 101432043405.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 166294 + ... + 480122.

Almost surely, 2101432043432 is an apocalyptic number.

101432043432 is a gapful number since it is divisible by the number (12) 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 101432043432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139437022725).

101432043432 is an abundant number, since it is smaller than the sum of its proper divisors (177442002018).

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

101432043432 is a wasteful number, since it uses less digits than its factorization.

101432043432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313975 (or 313901 counting only the distinct ones).

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

Adding to 101432043432 its reverse (234340234101), we get a palindrome (335772277533).

The spelling of 101432043432 in words is "one hundred one billion, four hundred thirty-two million, forty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 67 72 134 201 268 402 536 603 804 1206 1608 2412 4489 4824 8978 13467 17956 26934 35912 40401 53868 80802 107736 161604 313829 323208 627658 941487 1255316 1882974 2510632 2824461 3765948 5648922 7531896 11297844 21026543 22595688 42053086 63079629 84106172 126159258 168212344 189238887 252318516 378477774 504637032 756955548 1408778381 1513911096 2817556762 4226335143 5635113524 8452670286 11270227048 12679005429 16905340572 25358010858 33810681144 50716021716 101432043432