Search a number
-
+
102123033424304 = 24192311113151239
BaseRepresentation
bin10111001110000101011111…
…001000010111000110110000
3111101120212101210020220121112
4113032011133020113012300
5101341140433024034204
61001110401321012452
730340100653405334
oct2716053710270660
9441525353226545
10102123033424304
112a5a3154031712
12b554165324128
1344ca21217c6a9
141b30ad18317c4
15bc16c3bea26e
hex5ce15f2171b0

102123033424304 has 120 divisors (see below), whose sum is σ = 215585211663360. Its totient is φ = 46808495395200.

The previous prime is 102123033424297. The next prime is 102123033424351. The reversal of 102123033424304 is 403424330321201.

It is a super-2 number, since 2×1021230334243042 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1993046717 + ... + 1993097955.

It is an arithmetic number, because the mean of its divisors is an integer number (1796543430528).

Almost surely, 2102123033424304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102123033424304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107792605831680).

102123033424304 is an abundant number, since it is smaller than the sum of its proper divisors (113462178239056).

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

102123033424304 is a wasteful number, since it uses less digits than its factorization.

102123033424304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62447 (or 62422 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 102123033424304 its reverse (403424330321201), we get a palindrome (505547363745505).

The spelling of 102123033424304 in words is "one hundred two trillion, one hundred twenty-three billion, thirty-three million, four hundred twenty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 19 31 38 62 76 124 152 248 304 361 496 589 722 1178 1444 2356 2888 4712 5776 9424 11131 11191 22262 22382 44524 44764 51239 89048 89528 102478 178096 179056 204956 211489 345061 409912 422978 690122 819824 845956 973541 1380244 1588409 1691912 1947082 2760488 3176818 3383824 3894164 4018291 5520976 6353636 6556159 7788328 8036582 12707272 13112318 15576656 16073164 18497279 25414544 26224636 30179771 32146328 36994558 52449272 60359542 64292656 73989116 104898544 120719084 124567021 147978232 241438168 249134042 295956464 482876336 498268084 570341309 573415649 996536168 1140682618 1146831298 1993072336 2281365236 2293662596 4562730472 4587325192 9125460944 9174650384 10836484871 17680580579 21672969742 35361161158 43345939484 70722322316 86691878968 141444644632 173383757936 205893212549 282889289264 335931031001 411786425098 671862062002 823572850196 1343724124004 1647145700392 2687448248008 3294291400784 5374896496016 6382689589019 12765379178038 25530758356076 51061516712152 102123033424304