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332002133034 = 2311134379113909
BaseRepresentation
bin1001101010011001101…
…11101000010000101010
31011201221210120211022120
410311030313220100222
520414420021224114
6412304125532110
732662215365625
oct4651467502052
91151853524276
10332002133034
1111888a604530
1254416a14036
13253ccc36bc0
14120d743cdbc
158981e6c5a9
hex4d4cde842a

332002133034 has 128 divisors (see below), whose sum is σ = 808341811200. Its totient is φ = 89559025920.

The previous prime is 332002133003. The next prime is 332002133081. The reversal of 332002133034 is 430331200233.

It is a happy number.

It is a super-2 number, since 2×3320021330342 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332002132995 and 332002133013.

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, 2857672 + ... + 2971580.

It is an arithmetic number, because the mean of its divisors is an integer number (6315170400).

Almost surely, 2332002133034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332002133034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404170905600).

332002133034 is an abundant number, since it is smaller than the sum of its proper divisors (476339678166).

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

332002133034 is a wasteful number, since it uses less digits than its factorization.

332002133034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114060.

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 332002133034 its reverse (430331200233), we get a palindrome (762333333267).

The spelling of 332002133034 in words is "three hundred thirty-two billion, two million, one hundred thirty-three thousand, thirty-four".

Divisors: 1 2 3 6 11 13 22 26 33 39 43 66 78 79 86 129 143 158 237 258 286 429 473 474 559 858 869 946 1027 1118 1419 1677 1738 2054 2607 2838 3081 3354 3397 5214 6149 6162 6794 10191 11297 12298 18447 20382 22594 33891 36894 37367 44161 67782 74734 88322 112101 113909 132483 224202 227818 264966 341727 485771 683454 971542 1252999 1457313 1480817 2505998 2914626 2961634 3758997 4442451 4898087 7517994 8884902 8998811 9796174 14694261 16288987 17997622 26996433 29388522 32577974 48866961 53878957 53992866 63675131 97733922 98986921 107757914 116984543 127350262 161636871 191025393 197973842 233969086 296960763 323273742 350953629 382050786 386948873 593921526 700426441 701907258 773897746 1160846619 1286829973 1400852882 2101279323 2321693238 2573659946 3860489919 4202558646 4256437603 5030335349 7720979838 8512875206 10060670698 12769312809 15091006047 25538625618 30182012094 55333688839 110667377678 166001066517 332002133034