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102111202002 = 23314147431661
BaseRepresentation
bin101111100011001001…
…1010100101011010010
3100202120022020111221110
41133012103110223102
53133110431431002
6114524221234150
710243260616245
oct1370623245322
9322508214843
10102111202002
113a33a125447
1217958a02956
1398240202b4
144d295c525c
1529c9765e6c
hex17c64d4ad2

102111202002 has 128 divisors (see below), whose sum is σ = 221392797696. Its totient is φ = 31331520000.

The previous prime is 102111201943. The next prime is 102111202003. The reversal of 102111202002 is 200202111201.

102111202002 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (102111202003) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 154479552 + ... + 154480212.

It is an arithmetic number, because the mean of its divisors is an integer number (1729631232).

Almost surely, 2102111202002 is an apocalyptic number.

102111202002 is an abundant number, since it is smaller than the sum of its proper divisors (119281595694).

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

102111202002 is a wasteful number, since it uses less digits than its factorization.

102111202002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102111202002 its reverse (200202111201), we get a palindrome (302313313203).

The spelling of 102111202002 in words is "one hundred two billion, one hundred eleven million, two hundred two thousand, two".

Divisors: 1 2 3 6 31 41 47 62 82 93 94 123 141 186 246 282 431 661 862 1271 1293 1322 1457 1927 1983 2542 2586 2914 3813 3854 3966 4371 5781 7626 8742 11562 13361 17671 20257 20491 26722 27101 31067 35342 40083 40514 40982 53013 54202 59737 60771 61473 62134 80166 81303 93201 106026 119474 121542 122946 162606 179211 186402 284891 358422 547801 569782 627967 830537 840131 854673 963077 1095602 1255934 1273747 1643403 1661074 1680262 1709346 1883901 1926154 2491611 2520393 2547494 2889231 3286806 3767802 3821241 4983222 5040786 5778462 7642482 8831621 11680531 13389877 17663242 23361062 25746647 26494863 26779754 35041593 39486157 40169631 51493294 52989726 70083186 77239941 78972314 80339262 118458471 154479882 236916942 362096461 415086187 548984957 724192922 830172374 1086289383 1097969914 1245258561 1646954871 2172578766 2490517122 3293909742 17018533667 34037067334 51055601001 102111202002