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10001212144420 = 22574310116448821
BaseRepresentation
bin1001000110001001011010…
…1100100111101100100100
31022102002212200002120101011
42101202112230213230210
52302324440302110140
633134254325312004
72051364234403120
oct221422654475444
938362780076334
1010001212144420
113206543585072
121156375865604
13577158312643
142680c0100580
1512524b57bcea
hex91896b27b24

10001212144420 has 96 divisors (see below), whose sum is σ = 24804297213696. Its totient is φ = 3316082112000.

The previous prime is 10001212144411. The next prime is 10001212144487. The reversal of 10001212144420 is 2444121210001.

It is a junction number, because it is equal to n+sod(n) for n = 10001212144391 and 10001212144400.

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, 7616391 + ... + 8832430.

It is an arithmetic number, because the mean of its divisors is an integer number (258378095976).

Almost surely, 210001212144420 is an apocalyptic number.

10001212144420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001212144420 is an abundant number, since it is smaller than the sum of its proper divisors (14803085069276).

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

10001212144420 is a wasteful number, since it uses less digits than its factorization.

10001212144420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16448981 (or 16448979 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 10001212144420 its reverse (2444121210001), we get a palindrome (12445333354421).

The spelling of 10001212144420 in words is "ten trillion, one billion, two hundred twelve million, one hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 101 140 172 202 215 301 404 430 505 602 707 860 1010 1204 1414 1505 2020 2828 3010 3535 4343 6020 7070 8686 14140 17372 21715 30401 43430 60802 86860 121604 152005 304010 608020 16448821 32897642 65795284 82244105 115141747 164488210 230283494 328976420 460566988 575708735 707299303 1151417470 1414598606 1661330921 2302834940 2829197212 3322661842 3536496515 4951095121 6645323684 7072993030 8306654605 9902190242 11629316447 14145986060 16613309210 19804380484 23258632894 24755475605 33226618420 46517265788 49510951210 58146582235 71437229603 99021902420 116293164470 142874459206 232586328940 285748918412 357186148015 500060607221 714372296030 1000121214442 1428744592060 2000242428884 2500303036105 5000606072210 10001212144420