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102220201121094 = 232710311437688679
BaseRepresentation
bin10111001111011111111110…
…110001101101010101000110
3111101221011012120102100021100
4113033133332301231111012
5101344233432441333334
61001223151230000530
730350110606245150
oct2717377661552506
9441834176370240
10102220201121094
112a630386726461
12b56ab62646146
134506428c61774
141b356ac65dad0
15bc3eae468c99
hex5cf7fec6d546

102220201121094 has 96 divisors (see below), whose sum is σ = 255596849464320. Its totient is φ = 28919649744576.

The previous prime is 102220201121083. The next prime is 102220201121131. The reversal of 102220201121094 is 490121102022201.

It is a super-3 number, since 3×1022202011210943 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148085047 + ... + 148773725.

It is an arithmetic number, because the mean of its divisors is an integer number (2662467181920).

Almost surely, 2102220201121094 is an apocalyptic number.

102220201121094 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102220201121094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127798424732160).

102220201121094 is an abundant number, since it is smaller than the sum of its proper divisors (153376648343226).

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

102220201121094 is a wasteful number, since it uses less digits than its factorization.

102220201121094 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700234 (or 700231 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 102220201121094 its reverse (490121102022201), we get a palindrome (592341303143295).

The spelling of 102220201121094 in words is "one hundred two trillion, two hundred twenty billion, two hundred one million, one hundred twenty-one thousand, ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 103 126 206 309 618 721 927 1442 1854 2163 4326 6489 11437 12978 22874 34311 68622 80059 102933 160118 205866 240177 480354 688679 720531 1178011 1377358 1441062 2066037 2356022 3534033 4132074 4820753 6198111 7068066 8246077 9641506 10602099 12396222 14462259 16492154 21204198 24738231 28924518 43386777 49476462 70933937 74214693 86773554 141867874 148429386 212801811 425603622 496537559 638405433 993075118 1276810866 1489612677 2979225354 4468838031 7876421723 8937676062 15752843446 23629265169 47258530338 55134952061 70887795507 110269904122 141775591014 165404856183 330809712366 496214568549 811271437469 992429137098 1622542874938 2433814312407 4867628624814 5678900062283 7301442937221 11357800124566 14602885874442 17036700186849 34073400373698 51110100560547 102220201121094