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103355002152312 = 233412294011143817
BaseRepresentation
bin10111100000000000110110…
…001100000110010101111000
3111112221122022210202200002020
4113200000312030012111320
5102021332021022333222
61003452344342234440
730525103205665131
oct2740006614062570
9445848283680066
10103355002152312
112aa2867928a279
12b712a85125a20
1345894479778b1
141b745a1a3cc88
15be377a29665c
hex5e0036306578

103355002152312 has 128 divisors (see below), whose sum is σ = 266508678945600. Its totient is φ = 33381126144000.

The previous prime is 103355002152301. The next prime is 103355002152343. The reversal of 103355002152312 is 213251200553301.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 89787828 + ... + 90931644.

Almost surely, 2103355002152312 is an apocalyptic number.

103355002152312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103355002152312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133254339472800).

103355002152312 is an abundant number, since it is smaller than the sum of its proper divisors (163153676793288).

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

103355002152312 is a wasteful number, since it uses less digits than its factorization.

103355002152312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144497 (or 1144493 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

The spelling of 103355002152312 in words is "one hundred three trillion, three hundred fifty-five billion, two million, one hundred fifty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 229 246 328 401 458 492 687 802 916 984 1203 1374 1604 1832 2406 2748 3208 4812 5496 9389 9624 16441 18778 28167 32882 37556 49323 56334 65764 75112 91829 98646 112668 131528 183658 197292 225336 275487 367316 394584 550974 734632 1101948 1143817 2203896 2287634 3431451 3764989 4575268 6862902 7529978 9150536 11294967 13725804 15059956 22589934 27451608 30119912 45179868 46896497 90359736 93792994 140689491 187585988 261934093 281378982 375171976 458670617 523868186 562757964 785802279 917341234 1047736372 1125515928 1376011851 1571604558 1834682468 2095472744 2752023702 3143209116 3669364936 5504047404 6286418232 10739297813 11008094808 18805495297 21478595626 32217893439 37610990594 42957191252 56416485891 64435786878 75221981188 85914382504 105035571293 112832971782 128871573756 150443962376 210071142586 225665943564 257743147512 315106713879 420142285172 451331887128 630213427758 840284570344 1260426855516 2520853711032 4306458423013 8612916846026 12919375269039 17225833692052 25838750538078 34451667384104 51677501076156 103355002152312