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132023545550120 = 23573376132282459
BaseRepresentation
bin11110000001001100100000…
…100010001101010100101000
3122022110022211212222000101202
4132001030200202031110220
5114301033210130100440
61144442440213503332
736544246351115330
oct3601144042152450
9568408755860352
10132023545550120
1139080964686344
121298306a341b48
1358889c7c1b623
142485d8bb8c0c0
15103e37e6ea615
hex78132088d528

132023545550120 has 128 divisors (see below), whose sum is σ = 341052111878400. Its totient is φ = 45057254731776.

The previous prime is 132023545550077. The next prime is 132023545550123. The reversal of 132023545550120 is 21055545320231.

It is a super-2 number, since 2×1320235455501202 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132023545550123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56701451 + ... + 58983909.

It is an arithmetic number, because the mean of its divisors is an integer number (2664469624050).

Almost surely, 2132023545550120 is an apocalyptic number.

132023545550120 is a gapful number since it is divisible by the number (10) 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 132023545550120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170526055939200).

132023545550120 is an abundant number, since it is smaller than the sum of its proper divisors (209028566328280).

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

132023545550120 is a wasteful number, since it uses less digits than its factorization.

132023545550120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2283427 (or 2283423 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 38.

The spelling of 132023545550120 in words is "one hundred thirty-two trillion, twenty-three billion, five hundred forty-five million, five hundred fifty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 337 613 674 1226 1348 1685 2359 2452 2696 3065 3370 4291 4718 4904 6130 6740 8582 9436 11795 12260 13480 17164 18872 21455 23590 24520 34328 42910 47180 85820 94360 171640 206581 413162 826324 1032905 1446067 1652648 2065810 2282459 2892134 4131620 4564918 5784268 7230335 8263240 9129836 11412295 11568536 14460670 15977213 18259672 22824590 28921340 31954426 45649180 57842680 63908852 79886065 91298360 127817704 159772130 319544260 639088520 769188683 1399147367 1538377366 2798294734 3076754732 3845943415 5384320781 5596589468 6153509464 6995736835 7691886830 9794031569 10768641562 11193178936 13991473670 15383773660 19588063138 21537283124 26921603905 27982947340 30767547320 39176126276 43074566248 48970157845 53843207810 55965894680 78352252552 97940315690 107686415620 195880631380 215372831240 391761262760 471512662679 943025325358 1886050650716 2357563313395 3300588638753 3772101301432 4715126626790 6601177277506 9430253253580 13202354555012 16502943193765 18860506507160 26404709110024 33005886387530 66011772775060 132023545550120