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102112003334202 = 2319101115318714111
BaseRepresentation
bin10111001101111011001101…
…101011111010000000111010
3111101112210221002012021111220
4113031323031223322000322
5101341000340323143302
61001101335015532510
730336230430240261
oct2715731553720072
9441483832167456
10102112003334202
112a599503911774
12b551ba738a136
1344c9174c4b064
141b3036696b5d8
15bc127a6b54bc
hex5cdecdafa03a

102112003334202 has 128 divisors (see below), whose sum is σ = 217458392186880. Its totient is φ = 31874135040000.

The previous prime is 102112003334111. The next prime is 102112003334207. The reversal of 102112003334202 is 202433300211201.

It is a super-2 number, since 2×1021120033342022 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102112003334207) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24838724127 + ... + 24838728237.

It is an arithmetic number, because the mean of its divisors is an integer number (1698893688960).

Almost surely, 2102112003334202 is an apocalyptic number.

102112003334202 is an abundant number, since it is smaller than the sum of its proper divisors (115346388852678).

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

102112003334202 is a wasteful number, since it uses less digits than its factorization.

102112003334202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7260.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 102112003334202 its reverse (202433300211201), we get a palindrome (304545303545403).

The spelling of 102112003334202 in words is "one hundred two trillion, one hundred twelve billion, three million, three hundred thirty-four thousand, two hundred two".

Divisors: 1 2 3 6 19 38 57 101 114 202 303 606 1153 1871 1919 2306 3459 3742 3838 4111 5613 5757 6918 8222 11226 11514 12333 21907 24666 35549 43814 65721 71098 78109 106647 116453 131442 156218 188971 213294 232906 234327 349359 377942 415211 468654 566913 698718 830422 1133826 1245633 2157263 2212607 2491266 3590449 4314526 4425214 4739983 6471789 6637821 7180898 7691681 7889009 9479966 10771347 12943578 13275642 14219949 15383362 15778018 21542694 23075043 23667027 28439898 40987997 46150086 47334054 81975994 90059677 122963991 146141939 180119354 217883563 245927982 270179031 292283878 435767126 438425817 478738283 540358062 653650689 776859781 876851634 957476566 1307301378 1436214849 1553719562 2330579343 2872429698 4139787697 4661158686 8279575394 8868508193 9096027377 12419363091 14760335839 17737016386 18192054754 24838726182 26605524579 27288082131 29520671678 44281007517 53211049158 54576164262 88562015034 168501655667 337003311334 505504967001 895719327493 1011009934002 1791438654986 2687157982479 5374315964958 17018667222367 34037334444734 51056001667101 102112003334202