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101233600032 = 25331715972083
BaseRepresentation
bin101111001000111111…
…1100010011000100000
3100200022010212201100210
41132101333202120200
53124311300200112
6114301151214120
710212443255025
oct1362177423040
9320263781323
10101233600032
1139a29801064
1217752b17340
1397142696a6
144c84c1954c
1529776b0b3c
hex1791fe2620

101233600032 has 96 divisors (see below), whose sum is σ = 266871471552. Its totient is φ = 33600881664.

The previous prime is 101233600021. The next prime is 101233600057. The reversal of 101233600032 is 230006332101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 101233599981 and 101233600008.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48598863 + ... + 48600945.

It is an arithmetic number, because the mean of its divisors is an integer number (2779911162).

Almost surely, 2101233600032 is an apocalyptic number.

101233600032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101233600032 is an abundant number, since it is smaller than the sum of its proper divisors (165637871520).

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

101233600032 is a wasteful number, since it uses less digits than its factorization.

101233600032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4010 (or 4002 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 101233600032 its reverse (230006332101), we get a palindrome (331239932133).

The spelling of 101233600032 in words is "one hundred one billion, two hundred thirty-three million, six hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 317 634 951 1268 1597 1902 2083 2536 3194 3804 4166 4791 5072 6249 6388 7608 8332 9582 10144 12498 12776 15216 16664 19164 24996 25552 30432 33328 38328 49992 51104 66656 76656 99984 153312 199968 506249 660311 1012498 1320622 1518747 1980933 2024996 2641244 3037494 3326551 3961866 4049992 5282488 6074988 6653102 7923732 8099984 9979653 10564976 12149976 13306204 15847464 16199968 19959306 21129952 24299952 26612408 31694928 39918612 48599904 53224816 63389856 79837224 106449632 159674448 319348896 1054516667 2109033334 3163550001 4218066668 6327100002 8436133336 12654200004 16872266672 25308400008 33744533344 50616800016 101233600032