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132301100534520 = 23356717393946091
BaseRepresentation
bin11110000101001111000000…
…000110011100101011111000
3122100102212021011122010000210
4132011033000012130223320
5114320110123214101040
61145214141520231120
736603303414422511
oct3605170006345370
9570385234563023
10132301100534520
1139178644195175
1212a08a0aa6b4a0
1358a8c2b9551c8
14249559bdcba08
1510466c6674480
hex7853c019caf8

132301100534520 has 128 divisors (see below), whose sum is σ = 402850817591040. Its totient is φ = 34751687055360.

The previous prime is 132301100534467. The next prime is 132301100534563. The reversal of 132301100534520 is 25435001103231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 139366675 + ... + 140312765.

It is an arithmetic number, because the mean of its divisors is an integer number (3147272012430).

Almost surely, 2132301100534520 is an apocalyptic number.

132301100534520 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 132301100534520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201425408795520).

132301100534520 is an abundant number, since it is smaller than the sum of its proper divisors (270549717056520).

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

132301100534520 is a wasteful number, since it uses less digits than its factorization.

132301100534520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963565 (or 963561 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 132301100534520 its reverse (25435001103231), we get a palindrome (157736101637751).

The spelling of 132301100534520 in words is "one hundred thirty-two trillion, three hundred one billion, one hundred million, five hundred thirty-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 201 268 335 402 536 670 804 1005 1340 1608 2010 2680 4020 8040 17393 34786 52179 69572 86965 104358 139144 173930 208716 260895 347860 417432 521790 695720 946091 1043580 1165331 1892182 2087160 2330662 2838273 3495993 3784364 4661324 4730455 5676546 5826655 6991986 7568728 9322648 9460910 11353092 11653310 13983972 14191365 17479965 18921820 22706184 23306620 27967944 28382730 34959930 37843640 46613240 56765460 63388097 69919860 113530920 126776194 139839720 190164291 253552388 316940485 380328582 507104776 633880970 760657164 950821455 1267761940 1521314328 1901642910 2535523880 3803285820 7606571640 16455360763 32910721526 49366082289 65821443052 82276803815 98732164578 131642886104 164553607630 197464329156 246830411445 329107215260 394928658312 493660822890 658214430520 987321645780 1102509171121 1974643291560 2205018342242 3307527513363 4410036684484 5512545855605 6615055026726 8820073368968 11025091711210 13230110053452 16537637566815 22050183422420 26460220106904 33075275133630 44100366844840 66150550267260 132301100534520