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211210102210100 = 225271103273552781
BaseRepresentation
bin110000000001100000101111…
…000111010111111000110100
31000200211111012011122212101212
4300001200233013113320310
5210140431242131210400
62025112325332340552
762326266141025550
oct6001405707277064
91020744164585355
10211210102210100
1161330779509424
121b831b23a74758
1390b1047927cc6
143a228a2c08860
1519640d5a1a335
hexc0182f1d7e34

211210102210100 has 72 divisors (see below), whose sum is σ = 524275943025408. Its totient is φ = 72349239254400.

The previous prime is 211210102210061. The next prime is 211210102210139. The reversal of 211210102210100 is 1012201012112.

It is an interprime number because it is at equal distance from previous prime (211210102210061) and next prime (211210102210139).

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 136004291 + ... + 137548490.

Almost surely, 2211210102210100 is an apocalyptic number.

211210102210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211210102210100 is an abundant number, since it is smaller than the sum of its proper divisors (313065840815308).

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

211210102210100 is a wasteful number, since it uses less digits than its factorization.

211210102210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273553905 (or 273553898 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211210102210100 its reverse (1012201012112), we get a palindrome (212222303222212).

The spelling of 211210102210100 in words is "two hundred eleven trillion, two hundred ten billion, one hundred two million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1103 2206 4412 5515 7721 11030 15442 22060 27575 30884 38605 55150 77210 110300 154420 193025 386050 772100 273552781 547105562 1094211124 1367763905 1914869467 2735527810 3829738934 5471055620 6838819525 7659477868 9574347335 13677639050 19148694670 27355278100 38297389340 47871736675 95743473350 191486946700 301728717443 603457434886 1206914869772 1508643587215 2112101022101 3017287174430 4224202044202 6034574348860 7543217936075 8448404088404 10560505110505 15086435872150 21121010221010 30172871744300 42242020442020 52802525552525 105605051105050 211210102210100