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1032202133112 = 2331716337341611
BaseRepresentation
bin11110000010101000000…
…10101001111001111000
310122200021221102021120210
433001110002221321320
5113402422221224422
62110104225551120
7134400634240023
oct17012402517170
93580257367523
101032202133112
11368833216147
1214806a4a54a0
137644a95b187
1437d5d1261ba
151bcb387e10c
hexf0540a9e78

1032202133112 has 128 divisors (see below), whose sum is σ = 2756498722560. Its totient is φ = 320970885120.

The previous prime is 1032202133071. The next prime is 1032202133143. The reversal of 1032202133112 is 2113312022301.

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, 24785187 + ... + 24826797.

It is an arithmetic number, because the mean of its divisors is an integer number (21535146270).

Almost surely, 21032202133112 is an apocalyptic number.

1032202133112 is a gapful number since it is divisible by the number (12) 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 1032202133112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378249361280).

1032202133112 is an abundant number, since it is smaller than the sum of its proper divisors (1724296589448).

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

1032202133112 is a wasteful number, since it uses less digits than its factorization.

1032202133112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42173 (or 42169 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1032202133112 its reverse (2113312022301), we get a palindrome (3145514155413).

The spelling of 1032202133112 in words is "one trillion, thirty-two billion, two hundred two million, one hundred thirty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 163 204 326 373 408 489 652 746 978 1119 1304 1492 1956 2238 2771 2984 3912 4476 5542 6341 8313 8952 11084 12682 16626 19023 22168 25364 33252 38046 41611 50728 60799 66504 76092 83222 121598 124833 152184 166444 182397 243196 249666 332888 364794 486392 499332 707387 729588 998664 1033583 1414774 1459176 2067166 2122161 2829548 3100749 4134332 4244322 5659096 6201498 6782593 8268664 8488644 12402996 13565186 15520903 16977288 20347779 24805992 27130372 31041806 40695558 46562709 54260744 62083612 81391116 93125418 115304081 124167224 162782232 186250836 230608162 263855351 345912243 372501672 461216324 527710702 691824486 791566053 922432648 1055421404 1383648972 1583132106 2110842808 2529907189 2767297944 3166264212 5059814378 6332528424 7589721567 10119628756 15179443134 20239257512 30358886268 43008422213 60717772536 86016844426 129025266639 172033688852 258050533278 344067377704 516101066556 1032202133112