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23411211211432 = 23112191453387587
BaseRepresentation
bin1010101001010110110001…
…11011011001001010101000
310001220002102120011200221201
411110223120323121022220
511032032130032231212
6121442543441013544
74634255431633432
oct524533073311250
9101802376150851
1023411211211432
117506703444200
1227612bb3242b4
13100a88b05a995
145ad174287652
152a8ea5383b57
hex154ad8ed92a8

23411211211432 has 96 divisors (see below), whose sum is σ = 50792859280800. Its totient is φ = 10080574035840.

The previous prime is 23411211211379. The next prime is 23411211211441.

23411211211432 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 23411211211432.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 267247143 + ... + 267334729.

It is an arithmetic number, because the mean of its divisors is an integer number (529092284175).

Almost surely, 223411211211432 is an apocalyptic number.

23411211211432 is a gapful number since it is divisible by the number (22) 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 23411211211432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25396429640400).

23411211211432 is an abundant number, since it is smaller than the sum of its proper divisors (27381648069368).

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

23411211211432 is a wasteful number, since it uses less digits than its factorization.

23411211211432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102167 (or 102152 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

It can be divided in two parts, 2341121 and 1211432, that added together give a palindrome (3552553).

The spelling of 23411211211432 in words is "twenty-three trillion, four hundred eleven billion, two hundred eleven million, two hundred eleven thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 121 152 209 242 418 484 836 968 1672 2299 4598 9196 14533 18392 29066 58132 87587 116264 159863 175174 276127 319726 350348 552254 639452 700696 963457 1104508 1278904 1664153 1758493 1926914 2209016 3037397 3328306 3516986 3853828 6074794 6656612 7033972 7707656 10598027 12149588 13313224 14067944 18305683 21196054 24299176 33411367 36611366 42392108 66822734 73222732 84784216 133645468 146445464 201362513 267290936 402725026 805450052 1272901871 1610900104 2545803742 5091607484 10183214968 14001920581 24185135549 28003841162 48370271098 56007682324 96740542196 112015364648 154021126391 193481084392 266036491039 308042252782 532072982078 616084505564 1064145964156 1232169011128 2128291928312 2926401401429 5852802802858 11705605605716 23411211211432