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1013111321220 = 2232537152118817
BaseRepresentation
bin11101011111000100010…
…00111111001010000100
310120212000110200112221200
432233202020333022010
5113044322444234340
62053230015342500
7133123562100225
oct16574210771204
93525013615850
101013111321220
11360726a24659
12144420b21a30
13746c774608b
143706b8ad24c
151b547857330
hexebe223f284

1013111321220 has 72 divisors (see below), whose sum is σ = 3156161235864. Its totient is φ = 262861314048.

The previous prime is 1013111321219. The next prime is 1013111321237. The reversal of 1013111321220 is 221231113101.

1013111321220 is a `hidden beast` number, since 1 + 0 + 1 + 311 + 132 + 1 + 220 = 666.

1013111321220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 516492318276 + 496619002944 = 718674^2 + 704712^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1013111321193 and 1013111321202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76052749 + ... + 76066068.

Almost surely, 21013111321220 is an apocalyptic number.

1013111321220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013111321220 is an abundant number, since it is smaller than the sum of its proper divisors (2143049914644).

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

1013111321220 is a wasteful number, since it uses less digits than its factorization.

1013111321220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152118869 (or 152118864 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1013111321220 its reverse (221231113101), we get a palindrome (1234342434321).

It can be divided in two parts, 1013111 and 321220, that added together give a palindrome (1334331).

The spelling of 1013111321220 in words is "one trillion, thirteen billion, one hundred eleven million, three hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 152118817 304237634 456356451 608475268 760594085 912712902 1369069353 1521188170 1825425804 2281782255 2738138706 3042376340 4563564510 5476277412 5628396229 6845346765 9127129020 11256792458 13690693530 16885188687 22513584916 27381387060 28141981145 33770377374 50655566061 56283962290 67540754748 84425943435 101311132122 112567924580 168851886870 202622264244 253277830305 337703773740 506555660610 1013111321220