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120145630332 = 223713195790709
BaseRepresentation
bin110111111100100111…
…1001101010001111100
3102111010011012101202110
41233321033031101330
53432024240132312
6131105533454020
711452215002430
oct1577117152174
9374104171673
10120145630332
1146a54092372
121b350641310
13b439416370
145b5a8149c0
1531d2b7043c
hex1bf93cd47c

120145630332 has 96 divisors (see below), whose sum is σ = 363193331200. Its totient is φ = 30019030272.

The previous prime is 120145630331. The next prime is 120145630333. The reversal of 120145630332 is 233036541021.

It is an interprime number because it is at equal distance from previous prime (120145630331) and next prime (120145630333).

It is a self number, because there is not a number n which added to its sum of digits gives 120145630332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120145630331) by changing a digit.

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, 2874607 + ... + 2916102.

Almost surely, 2120145630332 is an apocalyptic number.

120145630332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120145630332 is an abundant number, since it is smaller than the sum of its proper divisors (243047700868).

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

120145630332 is a wasteful number, since it uses less digits than its factorization.

120145630332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5790755 (or 5790753 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 120145630332 in words is "one hundred twenty billion, one hundred forty-five million, six hundred thirty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 13 14 19 21 26 28 38 39 42 52 57 76 78 84 91 114 133 156 182 228 247 266 273 364 399 494 532 546 741 798 988 1092 1482 1596 1729 2964 3458 5187 6916 10374 20748 5790709 11581418 17372127 23162836 34744254 40534963 69488508 75279217 81069926 110023471 121604889 150558434 162139852 220046942 225837651 243209778 301116868 330070413 440093884 451675302 486419556 526954519 660140826 770164297 903350604 1053909038 1320281652 1430305123 1540328594 1580863557 2107818076 2310492891 2860610246 3080657188 3161727114 4290915369 4620985782 5721220492 6323454228 8581830738 9241971564 10012135861 17163661476 20024271722 30036407583 40048543444 60072815166 120145630332