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102203021003232 = 25327531119734537
BaseRepresentation
bin10111001111001111111110…
…110000110000100111100000
3111101212111212020222221002210
4113033033332300300213200
5101343443241334100412
61001211230352242120
730345632064535032
oct2717177660604740
9441774766887083
10102203021003232
112a62406aa24646
12b567768b40340
13450491b855956
141b3491ca95c52
15bc380606383c
hex5cf3fec309e0

102203021003232 has 96 divisors (see below), whose sum is σ = 268412121708192. Its totient is φ = 34051271491584.

The previous prime is 102203021003227. The next prime is 102203021003299. The reversal of 102203021003232 is 232300120302201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 102203021003199 and 102203021003208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2959215468 + ... + 2959250004.

It is an arithmetic number, because the mean of its divisors is an integer number (2795959601127).

Almost surely, 2102203021003232 is an apocalyptic number.

102203021003232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102203021003232 is an abundant number, since it is smaller than the sum of its proper divisors (166209100704960).

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

102203021003232 is a wasteful number, since it uses less digits than its factorization.

102203021003232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48500 (or 48492 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 102203021003232 its reverse (232300120302201), we get a palindrome (334503141305433).

The spelling of 102203021003232 in words is "one hundred two trillion, two hundred three billion, twenty-one million, three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2753 5506 8259 11012 11197 16518 22024 22394 33036 33591 34537 44048 44788 66072 67182 69074 88096 89576 103611 132144 134364 138148 179152 207222 264288 268728 276296 358304 414444 537456 552592 828888 1074912 1105184 1657776 3315552 30825341 61650682 92476023 95080361 123301364 184952046 190160722 246602728 285241083 369904092 380321444 386710789 493205456 570482166 739808184 760642888 773421578 986410912 1140964332 1160132367 1479616368 1521285776 1546843156 2281928664 2320264734 2959232736 3042571552 3093686312 4563857328 4640529468 6187372624 9127714656 9281058936 12374745248 18562117872 37124235744 1064614802117 2129229604234 3193844406351 4258459208468 6387688812702 8516918416936 12775377625404 17033836833872 25550755250808 34067673667744 51101510501616 102203021003232