Search a number
-
+
113464153112232 = 233138334912554533
BaseRepresentation
bin11001110011000111101110…
…100010100111111010101000
3112212202001210220210012020210
4121303013232202213322220
5104332444041144042412
61041152413511221120
732620341326240406
oct3163075642477250
9485661726705223
10113464153112232
1133175971477a8a
12108861433777a0
134b40815439920
1420039a129c476
15d1b6e29be83c
hex6731ee8a7ea8

113464153112232 has 128 divisors (see below), whose sum is σ = 310046771664000. Its totient is φ = 34392588014592.

The previous prime is 113464153112213. The next prime is 113464153112239. The reversal of 113464153112232 is 232211351464311.

It is a super-2 number, since 2×1134641531122322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (113464153112239) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2760438 + ... + 15314970.

It is an arithmetic number, because the mean of its divisors is an integer number (2422240403625).

Almost surely, 2113464153112232 is an apocalyptic number.

113464153112232 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 113464153112232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155023385832000).

113464153112232 is an abundant number, since it is smaller than the sum of its proper divisors (196582618551768).

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

113464153112232 is a wasteful number, since it uses less digits than its factorization.

113464153112232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12554987 (or 12554983 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The spelling of 113464153112232 in words is "one hundred thirteen trillion, four hundred sixty-four billion, one hundred fifty-three million, one hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 83 104 156 166 249 312 332 349 498 664 698 996 1047 1079 1396 1992 2094 2158 2792 3237 4188 4316 4537 6474 8376 8632 9074 12948 13611 18148 25896 27222 28967 36296 54444 57934 86901 108888 115868 173802 231736 347604 376571 695208 753142 1129713 1506284 2259426 3012568 4518852 9037704 12554533 25109066 37663599 50218132 75327198 100436264 150654396 163208929 301308792 326417858 489626787 652835716 979253574 1042026239 1305671432 1958507148 2084052478 3126078717 3917014296 4168104956 4381532017 6252157434 8336209912 8763064034 12504314868 13144596051 13546341107 17526128068 25008629736 26289192102 27092682214 35052256136 40639023321 52578384204 54185364428 56959916221 81278046642 105156768408 108370728856 113919832442 162556093284 170879748663 227839664884 325112186568 341759497326 363667157411 455679329768 683518994652 727334314822 1091001472233 1367037989304 1454668629644 2182002944466 2909337259288 4364005888932 4727673046343 8728011777864 9455346092686 14183019139029 18910692185372 28366038278058 37821384370744 56732076556116 113464153112232