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100545021411252 = 223115323361681489
BaseRepresentation
bin10110110111000111110110…
…010010001111111110110100
3111012000000021102020220022020
4112313013312102033332310
5101134312200440130002
6553501424543033140
730115065234534435
oct2667076622177664
9435000242226266
10100545021411252
112a0449a4424270
12b33a37029b7b0
13441447c760722
141ab859547948c
15b95617b702bc
hex5b71f648ffb4

100545021411252 has 96 divisors (see below), whose sum is σ = 261880855367040. Its totient is φ = 29765018849280.

The previous prime is 100545021411169. The next prime is 100545021411409. The reversal of 100545021411252 is 252114120545001.

It is a super-3 number, since 3×1005450214112523 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29210677 + ... + 32470812.

It is an arithmetic number, because the mean of its divisors is an integer number (2727925576740).

Almost surely, 2100545021411252 is an apocalyptic number.

100545021411252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100545021411252 is an abundant number, since it is smaller than the sum of its proper divisors (161335833955788).

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

100545021411252 is a wasteful number, since it uses less digits than its factorization.

100545021411252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61681793 (or 61681791 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 33.

Adding to 100545021411252 its reverse (252114120545001), we get a palindrome (352659141956253).

The spelling of 100545021411252 in words is "one hundred trillion, five hundred forty-five billion, twenty-one million, four hundred eleven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 53 66 106 132 159 212 233 318 466 583 636 699 932 1166 1398 1749 2332 2563 2796 3498 5126 6996 7689 10252 12349 15378 24698 30756 37047 49396 74094 135839 148188 271678 407517 543356 815034 1630068 61681489 123362978 185044467 246725956 370088934 678496379 740177868 1356992758 2035489137 2713985516 3269118917 4070978274 6538237834 8141956548 9807356751 13076475668 14371786937 19614713502 28743573874 35960308087 39229427004 43115360811 57487147748 71920616174 86230721622 107880924261 143841232348 158089656307 172461443244 215761848522 316179312614 431523697044 474268968921 632358625228 761704707661 948537937842 1523409415322 1897075875684 2285114122983 3046818830644 4570228245966 8378751784271 9140456491932 16757503568542 25136255352813 33515007137084 50272510705626 100545021411252