Search a number
-
+
3310212040032 = 253175338270117
BaseRepresentation
bin110000001010111000000…
…000110100010101100000
3102201110020100221200120010
4300022320000310111200
5413213303240240112
611012405044044520
7461104066043052
oct60127000642540
912643210850503
103310212040032
111066942443887
1245565b393740
131b01c825a541
14b63023d58d2
155b18d6e763c
hex302b8034560

3310212040032 has 96 divisors (see below), whose sum is σ = 9374035783392. Its totient is φ = 1018903568384.

The previous prime is 3310212040021. The next prime is 3310212040087. The reversal of 3310212040032 is 2300402120133.

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

It is a super-2 number, since 2×33102120400322 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3310212039990 and 3310212040008.

It is a congruent number.

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, 19048563 + ... + 19221554.

It is an arithmetic number, because the mean of its divisors is an integer number (97646206077).

Almost surely, 23310212040032 is an apocalyptic number.

3310212040032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3310212040032 is an abundant number, since it is smaller than the sum of its proper divisors (6063823743360).

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

3310212040032 is a wasteful number, since it uses less digits than its factorization.

3310212040032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38270200 (or 38270192 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 3310212040032 its reverse (2300402120133), we get a palindrome (5610614160165).

The spelling of 3310212040032 in words is "three trillion, three hundred ten billion, two hundred twelve million, forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 53 68 96 102 106 136 159 204 212 272 318 408 424 544 636 816 848 901 1272 1632 1696 1802 2544 2703 3604 5088 5406 7208 10812 14416 21624 28832 43248 86496 38270117 76540234 114810351 153080468 229620702 306160936 459241404 612321872 650591989 918482808 1224643744 1301183978 1836965616 1951775967 2028316201 2602367956 3673931232 3903551934 4056632402 5204735912 6084948603 7807103868 8113264804 10409471824 12169897206 15614207736 16226529608 20818943648 24339794412 31228415472 32453059216 34481375417 48679588824 62456830944 64906118432 68962750834 97359177648 103444126251 137925501668 194718355296 206888252502 275851003336 413776505004 551702006672 827553010008 1103404013344 1655106020016 3310212040032