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1012210122220 = 22511103187923773
BaseRepresentation
bin11101011101011000110…
…11001011110111101100
310120202200122220220022221
432232230123023313230
5113041001242402340
62053000343445124
7133062340036003
oct16565433136754
93522618826287
101012210122220
113603042534a0
1214420b1567a4
13745b2b1ca2b
1436dc3d1dc3a
151b4e369044a
hexebac6cbdec

1012210122220 has 96 divisors (see below), whose sum is σ = 2342739409920. Its totient is φ = 364293538560.

The previous prime is 1012210122199. The next prime is 1012210122239. The reversal of 1012210122220 is 222210122101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1012210122194 and 1012210122203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42566254 + ... + 42590026.

It is an arithmetic number, because the mean of its divisors is an integer number (24403535520).

Almost surely, 21012210122220 is an apocalyptic number.

1012210122220 is a gapful number since it is divisible by the number (10) 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 1012210122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171369704960).

1012210122220 is an abundant number, since it is smaller than the sum of its proper divisors (1330529287700).

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

1012210122220 is a wasteful number, since it uses less digits than its factorization.

1012210122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25775 (or 25773 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1012210122220 its reverse (222210122101), we get a palindrome (1234420244321).

The spelling of 1012210122220 in words is "one trillion, twelve billion, two hundred ten million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 103 110 206 220 412 515 1030 1133 1879 2060 2266 3758 4532 5665 7516 9395 11330 18790 20669 22660 23773 37580 41338 47546 82676 95092 103345 118865 193537 206690 237730 261503 387074 413380 475460 523006 774148 967685 1046012 1307515 1935370 2128907 2448619 2615030 3870740 4257814 4897238 5230060 8515628 9794476 10644535 12243095 21289070 24486190 26934809 42578140 44669467 48972380 53869618 89338934 107739236 134674045 178677868 223347335 269348090 446694670 491364137 538696180 893389340 982728274 1965456548 2456820685 4600955101 4913641370 9201910202 9827282740 18403820404 23004775505 46009551010 50610506111 92019102020 101221012222 202442024444 253052530555 506105061110 1012210122220