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132342131102100 = 2235217121721322463
BaseRepresentation
bin11110000101110101001101…
…101101101001000110010100
3122100120210011122212220110220
4132011311031231221012110
5114321243141030231400
61145245045151514340
736606255244455513
oct3605651555510624
9570523148786426
10132342131102100
1139193a89944957
1212a1495bb289b0
1358aca6a38806a
1424975713c267a
1510477c88797a0
hex785d4db69194

132342131102100 has 144 divisors (see below), whose sum is σ = 405767172238848. Its totient is φ = 33187985653760.

The previous prime is 132342131102063. The next prime is 132342131102101. The reversal of 132342131102100 is 1201131243231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132342131102101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4454532 + ... + 16867931.

It is an arithmetic number, because the mean of its divisors is an integer number (2817827584992).

Almost surely, 2132342131102100 is an apocalyptic number.

132342131102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132342131102100 is an abundant number, since it is smaller than the sum of its proper divisors (273425041136748).

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

132342131102100 is a wasteful number, since it uses less digits than its factorization.

132342131102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21323714 (or 21323707 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 132342131102100 its reverse (1201131243231), we get a palindrome (133543262345331).

It can be divided in two parts, 132342131 and 102100, that added together give a palindrome (132444231).

The spelling of 132342131102100 in words is "one hundred thirty-two trillion, three hundred forty-two billion, one hundred thirty-one million, one hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1217 1275 1700 2434 2550 3651 4868 5100 6085 7302 12170 14604 18255 20689 24340 30425 36510 41378 60850 62067 73020 82756 91275 103445 121700 124134 182550 206890 248268 310335 365100 413780 517225 620670 1034450 1241340 1551675 2068900 3103350 6206700 21322463 42644926 63967389 85289852 106612315 127934778 213224630 255869556 319836945 362481871 426449260 533061575 639673890 724963742 1066123150 1087445613 1279347780 1449927484 1599184725 1812409355 2132246300 2174891226 3198369450 3624818710 4349782452 5437228065 6396738900 7249637420 9062046775 10874456130 18124093550 21748912260 25949437471 27186140325 36248187100 51898874942 54372280650 77848312413 103797749884 108744561300 129747187355 155696624826 259494374710 311393249652 389241562065 441140437007 518988749420 648735936775 778483124130 882280874014 1297471873550 1323421311021 1556966248260 1764561748028 1946207810325 2205702185035 2594943747100 2646842622042 3892415620650 4411404370070 5293685244084 6617106555105 7784831241300 8822808740140 11028510925175 13234213110210 22057021850350 26468426220420 33085532775525 44114043700700 66171065551050 132342131102100