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32002133132010 = 23517731038345429
BaseRepresentation
bin1110100011011000100111…
…10001110000001011101010
311012022101002200101221110110
413101230103301300023222
513143310332040211020
6152021324344355150
76512035456253106
oct721542361601352
9135271080357413
1032002133132010
11a21903494a558
12370a289775ab6
1314b1a328c1bc2
147c8ca926c906
153a76b01b58e0
hex1d1b13c702ea

32002133132010 has 128 divisors (see below), whose sum is σ = 83237452346880. Its totient is φ = 7844969373696.

The previous prime is 32002133132009. The next prime is 32002133132029. The reversal of 32002133132010 is 1023133120023.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 338025 + ... + 8007404.

It is an arithmetic number, because the mean of its divisors is an integer number (650292596460).

Almost surely, 232002133132010 is an apocalyptic number.

32002133132010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32002133132010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41618726173440).

32002133132010 is an abundant number, since it is smaller than the sum of its proper divisors (51235319214870).

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

32002133132010 is a wasteful number, since it uses less digits than its factorization.

32002133132010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8345632.

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

Adding to 32002133132010 its reverse (1023133120023), we get a palindrome (33025266252033).

The spelling of 32002133132010 in words is "thirty-two trillion, two billion, one hundred thirty-three million, one hundred thirty-two thousand, ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 73 85 102 103 146 170 206 219 255 309 365 438 510 515 618 730 1030 1095 1241 1545 1751 2190 2482 3090 3502 3723 5253 6205 7446 7519 8755 10506 12410 15038 17510 18615 22557 26265 37230 37595 45114 52530 75190 112785 127823 225570 255646 383469 639115 766938 1278230 1917345 3834690 8345429 16690858 25036287 41727145 50072574 83454290 125181435 141872293 250362870 283744586 425616879 609216317 709361465 851233758 859579187 1218432634 1418722930 1719158374 1827648951 2128084395 2578737561 3046081585 3655297902 4256168790 4297895935 5157475122 6092163170 8595791870 9138244755 10356677389 12893687805 14612846179 18276489510 20713354778 25787375610 29225692358 31070032167 43838538537 51783386945 62140064334 62749280651 73064230895 87677077074 103566773890 125498561302 146128461790 155350160835 188247841953 219192692685 310700321670 313746403255 376495683906 438385385370 627492806510 941239209765 1066737771067 1882478419530 2133475542134 3200213313201 5333688855335 6400426626402 10667377710670 16001066566005 32002133132010