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20130124123120 = 2451163973575917
BaseRepresentation
bin1001001001110111010001…
…11001011100101111110000
32122021102100221221212012011
410210323220321130233300
510114302443233414440
6110451352405412304
74145232145562134
oct444735071345760
978242327855164
1020130124123120
116461157304760
122311429a0a094
13b30354ac70ab
144d8435dd73c4
1524d96da669ea
hex124ee8e5cbf0

20130124123120 has 80 divisors (see below), whose sum is σ = 51065310548448. Its totient is φ = 7318898795520.

The previous prime is 20130124123099. The next prime is 20130124123127. The reversal of 20130124123120 is 2132142103102.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 20130124123091 and 20130124123100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20130124123127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3841402 + ... + 7417318.

Almost surely, 220130124123120 is an apocalyptic number.

20130124123120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20130124123120 is an abundant number, since it is smaller than the sum of its proper divisors (30935186425328).

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

20130124123120 is a wasteful number, since it uses less digits than its factorization.

20130124123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3582338 (or 3582332 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 20130124123120 its reverse (2132142103102), we get a palindrome (22262266226222).

The spelling of 20130124123120 in words is "twenty trillion, one hundred thirty billion, one hundred twenty-four million, one hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 6397 12794 25588 31985 51176 63970 70367 102352 127940 140734 255880 281468 351835 511760 562936 703670 1125872 1407340 2814680 3575917 5629360 7151834 14303668 17879585 28607336 35759170 39335087 57214672 71518340 78670174 143036680 157340348 196675435 286073360 314680696 393350870 629361392 786701740 1573403480 3146806960 22875141049 45750282098 91500564196 114375705245 183001128392 228751410490 251626551539 366002256784 457502820980 503253103078 915005641960 1006506206156 1258132757695 1830011283920 2013012412312 2516265515390 4026024824624 5032531030780 10065062061560 20130124123120