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132313130101100 = 2252131012281441787
BaseRepresentation
bin11110000101011010001101…
…000111100110100101101100
3122100111000022112101102002202
4132011122031013212211230
5114320304242301213400
61145223451323441032
736604210465151264
oct3605321507464554
9570430275342082
10132313130101100
1139182757600633
1212a0b207686178
1358aa0c7c6c640
142495dbd9047a4
151046b7c7d54d5
hex78568d1e696c

132313130101100 has 144 divisors (see below), whose sum is σ = 312404655093216. Its totient is φ = 48349059840000.

The previous prime is 132313130101099. The next prime is 132313130101111. The reversal of 132313130101100 is 1101031313231.

It is a super-2 number, since 2×1323131301011002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 299274407 + ... + 299716193.

Almost surely, 2132313130101100 is an apocalyptic number.

132313130101100 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 132313130101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156202327546608).

132313130101100 is an abundant number, since it is smaller than the sum of its proper divisors (180091524992116).

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

132313130101100 is a wasteful number, since it uses less digits than its factorization.

132313130101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444196 (or 444189 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 132313130101100 its reverse (1101031313231), we get a palindrome (133414161414331).

The spelling of 132313130101100 in words is "one hundred thirty-two trillion, three hundred thirteen billion, one hundred thirty million, one hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 101 130 202 260 325 404 505 650 1010 1300 1313 2020 2281 2525 2626 4562 5050 5252 6565 9124 10100 11405 13130 22810 26260 29653 32825 45620 57025 59306 65650 114050 118612 131300 148265 228100 230381 296530 441787 460762 593060 741325 883574 921524 1151905 1482650 1767148 2208935 2303810 2965300 2994953 4417870 4607620 5743231 5759525 5989906 8835740 11044675 11486462 11519050 11979812 14974765 22089350 22972924 23038100 28716155 29949530 44178700 44620487 57432310 59899060 74873825 89240974 114864620 143580775 149747650 178481948 223102435 287161550 299495300 446204870 574323100 580066331 892409740 1007716147 1115512175 1160132662 2015432294 2231024350 2320265324 2900331655 4030864588 4462048700 5038580735 5800663310 10077161470 11601326620 13100309911 14501658275 20154322940 25192903675 26200619822 29003316550 50385807350 52401239644 58006633100 65501549555 100771614700 101779330847 131003099110 203558661694 262006198220 327507747775 407117323388 508896654235 655015495550 1017793308470 1310030991100 1323131301011 2035586616940 2544483271175 2646262602022 5088966542350 5292525204044 6615656505055 10177933084700 13231313010110 26462626020220 33078282525275 66156565050550 132313130101100