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10222124210320 = 2451123095030771
BaseRepresentation
bin1001010011000000011000…
…0101010001100010010000
31100012020002102010021022211
42110300012011101202100
52314434402244212240
633423551245441504
72103344524105231
oct224600605214220
940166072107284
1010222124210320
1132911a6698960
121191148870294
13591c32c68ab9
14274a79685088
1512ad7a87dbea
hex94c06151890

10222124210320 has 80 divisors (see below), whose sum is σ = 25938257970240. Its totient is φ = 3715525491200.

The previous prime is 10222124210303. The next prime is 10222124210369. The reversal of 10222124210320 is 2301242122201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×102221242103203 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 10222124210291 and 10222124210300.

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, 483466 + ... + 4547305.

It is an arithmetic number, because the mean of its divisors is an integer number (324228224628).

Almost surely, 210222124210320 is an apocalyptic number.

10222124210320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222124210320 is an abundant number, since it is smaller than the sum of its proper divisors (15716133759920).

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

10222124210320 is a wasteful number, since it uses less digits than its factorization.

10222124210320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5033104 (or 5033098 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 10222124210320 its reverse (2301242122201), we get a palindrome (12523366332521).

The spelling of 10222124210320 in words is "ten trillion, two hundred twenty-two billion, one hundred twenty-four million, two hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 2309 4618 9236 11545 18472 23090 25399 36944 46180 50798 92360 101596 126995 184720 203192 253990 406384 507980 1015960 2031920 5030771 10061542 20123084 25153855 40246168 50307710 55338481 80492336 100615420 110676962 201230840 221353924 276692405 402461680 442707848 553384810 885415696 1106769620 2213539240 4427078480 11616050239 23232100478 46464200956 58080251195 92928401912 116160502390 127776552629 185856803824 232321004780 255553105258 464642009560 511106210516 638882763145 929284019120 1022212421032 1277765526290 2044424842064 2555531052580 5111062105160 10222124210320