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132133311202120 = 23535944933896047
BaseRepresentation
bin11110000010110010101111…
…000100111100001101001000
3122022211211011122101212202021
4132002302233010330031020
5114304333010131431440
61145005112152414224
736555213425553424
oct3602625704741510
9568754148355667
10132133311202120
1139113471513318
12129a03a26a7374
13589616b9c6177
14248b401babb84
151042155e5184a
hex782caf13c348

132133311202120 has 128 divisors (see below), whose sum is σ = 298929657600000. Its totient is φ = 52564503642112.

The previous prime is 132133311202117. The next prime is 132133311202133. The reversal of 132133311202120 is 21202113331231.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21851048937 + ... + 21851054983.

It is an arithmetic number, because the mean of its divisors is an integer number (2335387950000).

Almost surely, 2132133311202120 is an apocalyptic number.

132133311202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132133311202120 is an abundant number, since it is smaller than the sum of its proper divisors (166796346397880).

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

132133311202120 is a wasteful number, since it uses less digits than its factorization.

132133311202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10255 (or 10251 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 132133311202120 its reverse (21202113331231), we get a palindrome (153335424533351).

The spelling of 132133311202120 in words is "one hundred thirty-two trillion, one hundred thirty-three billion, three hundred eleven million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 359 449 718 898 1436 1795 1796 2245 2872 3389 3590 3592 4490 6047 6778 7180 8980 12094 13556 14360 16945 17960 24188 27112 30235 33890 48376 60470 67780 120940 135560 161191 241880 322382 644764 805955 1216651 1289528 1521661 1611910 2170873 2433302 2715103 3043322 3223820 4341746 4866604 5430206 6083255 6086644 6447640 7608305 8683492 9733208 10854365 10860412 12166510 12173288 13575515 15216610 17366984 20493283 21708730 21720824 24333020 27151030 30433220 40986566 43417460 48666040 54302060 60866440 81973132 86834920 102466415 108604120 163946264 204932830 409865660 546276299 819731320 974721977 1092552598 1949443954 2185105196 2731381495 3898887908 4370210392 4873609885 5462762990 7357088597 7797775816 9201484067 9747219770 10925525980 14714177194 18402968134 19494439540 21851051960 29428354388 36785442985 36805936268 38988879080 46007420335 58856708776 73570885970 73611872536 92014840670 147141771940 184029681340 294283543880 368059362680 3303332780053 6606665560106 13213331120212 16516663900265 26426662240424 33033327800530 66066655601060 132133311202120