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10202312220220 = 2254183523286619
BaseRepresentation
bin1001010001110110100100…
…1100100001111000111100
31100010022221200100220011201
42110131221030201320330
52314123313412021340
633410513314025244
72102043544010161
oct224355114417074
940108850326151
1010202312220220
11328385a30251a
121189339878224
135900c650ab33
14273b1a340068
1512a5bb39e79a
hex94769321e3c

10202312220220 has 96 divisors (see below), whose sum is σ = 22254387482880. Its totient is φ = 3925886999040.

The previous prime is 10202312220193. The next prime is 10202312220251. The reversal of 10202312220220 is 2202221320201.

It is a congruent number.

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, 35452071 + ... + 35738689.

It is an arithmetic number, because the mean of its divisors is an integer number (231816536280).

Almost surely, 210202312220220 is an apocalyptic number.

10202312220220 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 10202312220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11127193741440).

10202312220220 is an abundant number, since it is smaller than the sum of its proper divisors (12052075262660).

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

10202312220220 is a wasteful number, since it uses less digits than its factorization.

10202312220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287275 (or 287273 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 10202312220220 its reverse (2202221320201), we get a palindrome (12404533540421).

The spelling of 10202312220220 in words is "ten trillion, two hundred two billion, three hundred twelve million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 83 164 166 205 332 410 415 523 820 830 1046 1660 2092 2615 3403 5230 6806 10460 13612 17015 21443 34030 42886 43409 68060 85772 86818 107215 173636 214430 217045 286619 428860 434090 573238 868180 1146476 1433095 1779769 2866190 3559538 5732380 7119076 8898845 11751379 17797690 23502758 23789377 35595380 47005516 47578754 58756895 95157508 117513790 118946885 149901737 235027580 237893770 299803474 475787540 599606948 749508685 975364457 1499017370 1950728914 2998034740 3901457828 4876822285 6145971217 9753644570 12291942434 12441844171 19507289140 24583884868 24883688342 30729856085 49767376684 61459712170 62209220855 122919424340 124418441710 248836883420 510115611011 1020231222022 2040462444044 2550578055055 5101156110110 10202312220220