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20120222002100 = 22521159310018829
BaseRepresentation
bin1001001001100100110101…
…01011110110101110110100
32122020110210212100222210012
410210302122223312232310
510114122203313031400
6110443034040515352
74144431600126503
oct444623253665664
978213725328705
1020120222002100
116457a35872670
12230b52577bb58
13b2c437489b9c
144d7b76c7283a
1524d58e58ed35
hex124c9aaf6bb4

20120222002100 has 72 divisors (see below), whose sum is σ = 48437341999200. Its totient is φ = 7192436809600.

The previous prime is 20120222002073. The next prime is 20120222002187. The reversal of 20120222002100 is 120022202102.

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, 154944515 + ... + 155074314.

It is an arithmetic number, because the mean of its divisors is an integer number (672740861100).

Almost surely, 220120222002100 is an apocalyptic number.

20120222002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20120222002100 is an abundant number, since it is smaller than the sum of its proper divisors (28317119997100).

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

20120222002100 is a wasteful number, since it uses less digits than its factorization.

20120222002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310018913 (or 310018906 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20120222002100 its reverse (120022202102), we get a palindrome (20240244204202).

The spelling of 20120222002100 in words is "twenty trillion, one hundred twenty billion, two hundred twenty-two million, two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 59 100 110 118 220 236 275 295 550 590 649 1100 1180 1298 1475 2596 2950 3245 5900 6490 12980 16225 32450 64900 310018829 620037658 1240075316 1550094145 3100188290 3410207119 6200376580 6820414238 7750470725 13640828476 15500941450 17051035595 18291110911 31001882900 34102071190 36582221822 68204142380 73164443644 85255177975 91455554555 170510355950 182911109110 201202220021 341020711900 365822218220 402404440042 457277772775 804808880084 914555545550 1006011100105 1829111091100 2012022200210 4024044400420 5030055500525 10060111001050 20120222002100