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23412122121432 = 23311373691964921
BaseRepresentation
bin1010101001011000011110…
…01110001111010011011000
310001220011210001012201120010
411110230033032033103120
511032041011230341212
6121443214101001520
74634320132351632
oct524541716172330
9101804701181503
1023412122121432
117507030648390
1227615143b32a0
13100a9a49a4195
145ad21d243a52
152a900a31803c
hex154b0f38f4d8

23412122121432 has 128 divisors (see below), whose sum is σ = 65579737766400. Its totient is φ = 6902543692800.

The previous prime is 23412122121407. The next prime is 23412122121491.

23412122121432 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×234121221214322 (a number of 28 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 23412122121432.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 360592332 + ... + 360657252.

It is an arithmetic number, because the mean of its divisors is an integer number (512341701300).

Almost surely, 223412122121432 is an apocalyptic number.

23412122121432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23412122121432 is an abundant number, since it is smaller than the sum of its proper divisors (42167615644968).

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

23412122121432 is a wasteful number, since it uses less digits than its factorization.

23412122121432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101897 (or 101893 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 2341212 and 2121432, that added together give a palindrome (4462644).

The spelling of 23412122121432 in words is "twenty-three trillion, four hundred twelve billion, one hundred twenty-two million, one hundred twenty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 222 264 296 407 444 814 888 1221 1628 2442 3256 4884 9768 36919 64921 73838 110757 129842 147676 194763 221514 259684 295352 389526 406109 443028 519368 714131 779052 812218 886056 1218327 1366003 1428262 1558104 1624436 2142393 2402077 2436654 2732006 2856524 3248872 4098009 4284786 4804154 4873308 5464012 5713048 7206231 8196018 8569572 9608308 9746616 10928024 14412462 15026033 16392036 17139144 19216616 26422847 28824924 30052066 32784072 45078099 52845694 57649848 60104132 79268541 90156198 105691388 120208264 158537082 180312396 211382776 317074164 360624792 634148328 2396818399 4793636798 7190455197 9587273596 14380910394 19174547192 26365002389 28761820788 52730004778 57523641576 79095007167 88682280763 105460009556 158190014334 177364561526 210920019112 266046842289 316380028668 354729123052 532093684578 632760057336 709458246104 975505088393 1064187369156 1951010176786 2128374738312 2926515265179 3902020353572 5853030530358 7804040707144 11706061060716 23412122121432