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132103213032320 = 275534337897983
BaseRepresentation
bin11110000010010110101101…
…000101100010001110000000
3122022201221111001101102201122
4132002112231011202032000
5114303334340014013240
61144543213412251412
736553066524414305
oct3602265505421600
9568657431342648
10132103213032320
1139101726918922
12129965a2910b68
1358933831ab63a
142489b886cb0ac
1510414938d54b5
hex7825ad162380

132103213032320 has 128 divisors (see below), whose sum is σ = 321842458391040. Its totient is φ = 51832268161024.

The previous prime is 132103213032269. The next prime is 132103213032341. The reversal of 132103213032320 is 23230312301231.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 132103213032320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146662049 + ... + 147560031.

It is an arithmetic number, because the mean of its divisors is an integer number (2514394206180).

Almost surely, 2132103213032320 is an apocalyptic number.

132103213032320 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 132103213032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160921229195520).

132103213032320 is an abundant number, since it is smaller than the sum of its proper divisors (189739245358720).

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

132103213032320 is an equidigital number, since it uses as much as digits as its factorization.

132103213032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902392 (or 902380 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 132103213032320 its reverse (23230312301231), we get a palindrome (155333525333551).

The spelling of 132103213032320 in words is "one hundred thirty-two trillion, one hundred three billion, two hundred thirteen million, thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 128 160 212 265 320 424 530 640 848 1060 1696 2120 3392 4240 4337 6784 8480 8674 16960 17348 21685 33920 34696 43370 69392 86740 138784 173480 229861 277568 346960 459722 555136 693920 897983 919444 1149305 1387840 1795966 1838888 2298610 2775680 3591932 3677776 4489915 4597220 7183864 7355552 8979830 9194440 14367728 14711104 17959660 18388880 28735456 29422208 35919320 36777760 47593099 57470912 71838640 73555520 95186198 114941824 143677280 147111040 190372396 237965495 287354560 380744792 475930990 574709120 761489584 951861980 1522979168 1903723960 3045958336 3807447920 3894552271 6091916672 7614895840 7789104542 15229791680 15578209084 19472761355 30459583360 31156418168 38945522710 62312836336 77891045420 124625672672 155782090840 206411270363 249251345344 311564181680 412822540726 498502690688 623128363360 825645081452 1032056351815 1246256726720 1651290162904 2064112703630 2492513453440 3302580325808 4128225407260 6605160651616 8256450814520 13210321303232 16512901629040 26420642606464 33025803258080 66051606516160 132103213032320