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113201181602310 = 235178919971248857
BaseRepresentation
bin11001101111010010110100…
…001101111011001000000110
3112211210221000222111100201010
4121233102310031323020012
5104314142004442233220
61040431523243143050
732562341544262434
oct3157226415731006
9484727028440633
10113201181602310
11330843959583aa
1210843192814a86
134b21a96b72999
141dd4d75c19d54
15d14950ed01e0
hex66f4b437b206

113201181602310 has 128 divisors (see below), whose sum is σ = 291042260645760. Its totient is φ = 28077959512064.

The previous prime is 113201181602279. The next prime is 113201181602317. The reversal of 113201181602310 is 13206181102311.

113201181602310 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1132011816023102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113201181602317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90019402 + ... + 91268258.

It is an arithmetic number, because the mean of its divisors is an integer number (2273767661295).

Almost surely, 2113201181602310 is an apocalyptic number.

113201181602310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113201181602310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145521130322880).

113201181602310 is an abundant number, since it is smaller than the sum of its proper divisors (177841079043450).

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

113201181602310 is a wasteful number, since it uses less digits than its factorization.

113201181602310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250970.

The product of its (nonzero) digits is 1728, while the sum is 30.

The spelling of 113201181602310 in words is "one hundred thirteen trillion, two hundred one billion, one hundred eighty-one million, six hundred two thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 89 102 170 178 255 267 445 510 534 890 1335 1513 1997 2670 3026 3994 4539 5991 7565 9078 9985 11982 15130 19970 22695 29955 33949 45390 59910 67898 101847 169745 177733 203694 339490 355466 509235 533199 888665 1018470 1066398 1248857 1777330 2497714 2665995 3021461 3746571 5331990 6042922 6244285 7493142 9064383 12488570 15107305 18128766 18732855 21230569 30214610 37465710 42461138 45321915 63691707 90643830 106152845 111148273 127383414 212305690 222296546 318458535 333444819 555741365 636917070 666889638 1111482730 1667224095 1889520641 2493967429 3334448190 3779041282 4987934858 5668561923 7481902287 9447603205 11337123846 12469837145 14963804574 18895206410 24939674290 28342809615 37409511435 42397446293 56685619230 74819022870 84794892586 127192338879 211987231465 221963101181 254384677758 423974462930 443926202362 635961694395 665889303543 1109815505905 1271923388790 1331778607086 2219631011810 3329446517715 3773372720077 6658893035430 7546745440154 11320118160231 18866863600385 22640236320462 37733727200770 56600590801155 113201181602310