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10220210102200 = 2352721313342521
BaseRepresentation
bin1001010010111001001111…
…1111100001111110111000
31100012001011000101111121111
42110232103333201332320
52314421442241232300
633423033311450104
72103246222336130
oct224562377417670
940161130344544
1010220210102200
11329040418711a
1211908b3826934
135919b9535847
14274937387ac0
1512acb77d59ba
hex94b93fe1fb8

10220210102200 has 96 divisors (see below), whose sum is σ = 27157911737760. Its totient is φ = 3503897395200.

The previous prime is 10220210102173. The next prime is 10220210102273. The reversal of 10220210102200 is 220101202201.

It is a happy number.

It is a super-2 number, since 2×102202101022002 (a number of 27 digits) contains 22 as substring.

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, 29666940 + ... + 30009460.

It is an arithmetic number, because the mean of its divisors is an integer number (282894913935).

Almost surely, 210220210102200 is an apocalyptic number.

10220210102200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220210102200 is an abundant number, since it is smaller than the sum of its proper divisors (16937701635560).

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

10220210102200 is a wasteful number, since it uses less digits than its factorization.

10220210102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363857 (or 363848 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10220210102200 its reverse (220101202201), we get a palindrome (10440311304401).

The spelling of 10220210102200 in words is "ten trillion, two hundred twenty billion, two hundred ten million, one hundred two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 21313 42626 85252 106565 149191 170504 213130 298382 342521 426260 532825 596764 685042 745955 852520 1065650 1193528 1370084 1491910 1712605 2131300 2397647 2740168 2983820 3425210 3729775 4262600 4795294 5967640 6850420 7459550 8563025 9590588 11988235 13700840 14919100 17126050 19181176 23976470 29838200 34252100 47952940 59941175 68504200 95905880 119882350 239764700 479529400 7300150073 14600300146 29200600292 36500750365 51101050511 58401200584 73001500730 102202101022 146003001460 182503751825 204404202044 255505252555 292006002920 365007503650 408808404088 511010505110 730015007300 1022021010220 1277526262775 1460030014600 2044042020440 2555052525550 5110105051100 10220210102200