Search a number
-
+
100010031001320 = 23351175765175001
BaseRepresentation
bin10110101111010101100110…
…010111110010111011101000
3111010002212101000102012020010
4112233111212113302323220
5101102031020414020240
6552411550213531520
730031325541223116
oct2657254627627350
9433085330365203
10100010031001320
112995901a275a10
12b272745043ba0
1343a5ba039909b
141a9a723124ab6
15b86755253280
hex5af5665f2ee8

100010031001320 has 64 divisors (see below), whose sum is σ = 327305556008640. Its totient is φ = 24244856000000.

The previous prime is 100010031001313. The next prime is 100010031001367. The reversal of 100010031001320 is 23100130010001.

It is a super-3 number, since 3×1000100310013203 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100010031001296 and 100010031001305.

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, 37882586181 + ... + 37882588820.

It is an arithmetic number, because the mean of its divisors is an integer number (5114149312635).

Almost surely, 2100010031001320 is an apocalyptic number.

100010031001320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100010031001320 is an abundant number, since it is smaller than the sum of its proper divisors (227295525007320).

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

100010031001320 is a wasteful number, since it uses less digits than its factorization.

100010031001320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75765175026 (or 75765175022 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 100010031001320 its reverse (23100130010001), we get a palindrome (123110161011321).

The spelling of 100010031001320 in words is "one hundred trillion, ten billion, thirty-one million, one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 75765175001 151530350002 227295525003 303060700004 378825875005 454591050006 606121400008 757651750010 833416925011 909182100012 1136477625015 1515303500020 1666833850022 1818364200024 2272955250030 2500250775033 3030607000040 3333667700044 4167084625055 4545910500060 5000501550066 6667335400088 8334169250110 9091821000120 10001003100132 12501253875165 16668338500220 20002006200264 25002507750330 33336677000440 50005015500660 100010031001320