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10001111220 = 22325173268337
BaseRepresentation
bin10010101000001110…
…01101100010110100
3221210222212002102200
421110013031202310
5130440241024340
64332222304500
7502560020442
oct112407154264
927728762380
1010001111220
114272403981
121b31428130
13c34cb91b9
146ac371b92
153d802c330
hex2541cd8b4

10001111220 has 72 divisors (see below), whose sum is σ = 32121225864. Its totient is φ = 2510082048.

The previous prime is 10001111209. The next prime is 10001111231. The reversal of 10001111220 is 2211110001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10001111209) and next prime (10001111231).

It can be written as a sum of positive squares in 4 ways, for example, as 127509264 + 9873601956 = 11292^2 + 99366^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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, 1631109 + ... + 1637228.

It is an arithmetic number, because the mean of its divisors is an integer number (446128137).

Almost surely, 210001111220 is an apocalyptic number.

10001111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001111220 is an abundant number, since it is smaller than the sum of its proper divisors (22120114644).

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

10001111220 is a wasteful number, since it uses less digits than its factorization.

10001111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3268369 (or 3268364 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10001111220 its reverse (2211110001), we get a palindrome (12212221221).

The spelling of 10001111220 in words is "ten billion, one million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 3268337 6536674 9805011 13073348 16341685 19610022 29415033 32683370 39220044 49025055 55561729 58830066 65366740 98050110 111123458 117660132 147075165 166685187 196100220 222246916 277808645 294150330 333370374 500055561 555617290 588300660 666740748 833425935 1000111122 1111234580 1666851870 2000222244 2500277805 3333703740 5000555610 10001111220