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103101244311204 = 223229319113496901
BaseRepresentation
bin10111011100010100100001…
…000010110000011010100100
3111112001101022222121201001200
4113130110201002300122210
5102003202322020424304
61003140020251122500
730500550642635316
oct2734244102603244
9445041288551050
10103101244311204
112a93aaa062a417
12b691866143430
13456b5371c29a9
141b661ac1117b6
15bdbd775dce39
hex5dc5210b06a4

103101244311204 has 144 divisors (see below), whose sum is σ = 278606295152640. Its totient is φ = 32076364320000.

The previous prime is 103101244311157. The next prime is 103101244311211. The reversal of 103101244311204 is 402113442101301.

It is a happy number.

103101244311204 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 0 + 1 + 2 + 443 + 11 + 204 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27735154 + ... + 31232054.

It is an arithmetic number, because the mean of its divisors is an integer number (1934765938560).

Almost surely, 2103101244311204 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 103101244311204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139303147576320).

103101244311204 is an abundant number, since it is smaller than the sum of its proper divisors (175505050841436).

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

103101244311204 is a wasteful number, since it uses less digits than its factorization.

103101244311204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3497882 (or 3497877 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 103101244311204 its reverse (402113442101301), we get a palindrome (505214686412505).

The spelling of 103101244311204 in words is "one hundred three trillion, one hundred one billion, two hundred forty-four million, three hundred eleven thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 29 31 36 58 62 87 93 116 124 174 186 261 279 348 372 522 558 899 911 1044 1116 1798 1822 2697 2733 3596 3644 5394 5466 8091 8199 10788 10932 16182 16398 26419 28241 32364 32796 52838 56482 79257 84723 105676 112964 158514 169446 237771 254169 317028 338892 475542 508338 818989 951084 1016676 1637978 2456967 3275956 3496901 4913934 6993802 7370901 9827868 10490703 13987604 14741802 20981406 29483604 31472109 41962812 62944218 101410129 108403931 125888436 202820258 216807862 304230387 325211793 405640516 433615724 608460774 650423586 912691161 975635379 1216921548 1300847172 1825382322 1951270758 3143713999 3185676811 3650764644 3902541516 6287427998 6371353622 9431141997 9557030433 12574855996 12742707244 18862283994 19114060866 28293425991 28671091299 37724567988 38228121732 56586851982 57342182598 92384627519 98755981141 113173703964 114684365196 184769255038 197511962282 277153882557 296267943423 369538510076 395023924564 554307765114 592535886846 831461647671 888803830269 1108615530228 1185071773692 1662923295342 1777607660538 2863923453089 3325846590684 3555215321076 5727846906178 8591770359267 11455693812356 17183540718534 25775311077801 34367081437068 51550622155602 103101244311204