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20100220000212 = 22311557983278111
BaseRepresentation
bin1001001000111111100100…
…11110010001011111010100
32122011120011220002000110110
410210133302132101133110
510113310222310001322
6110425525200323020
74143123121664262
oct444376236213724
978146156060413
1020100220000212
11644a5011a65a0
122307683013470
13b2a59a561001
144d6bda5c9432
1524ccbd57ac0c
hex1247f27917d4

20100220000212 has 96 divisors (see below), whose sum is σ = 51308380053504. Its totient is φ = 6073833404800.

The previous prime is 20100220000183. The next prime is 20100220000241. The reversal of 20100220000212 is 21200002200102.

It is an interprime number because it is at equal distance from previous prime (20100220000183) and next prime (20100220000241).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 72135037 + ... + 72413147.

It is an arithmetic number, because the mean of its divisors is an integer number (534462292224).

Almost surely, 220100220000212 is an apocalyptic number.

20100220000212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

20100220000212 is an abundant number, since it is smaller than the sum of its proper divisors (31208160053292).

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

20100220000212 is a wasteful number, since it uses less digits than its factorization.

20100220000212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279669 (or 279667 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20100220000212 its reverse (21200002200102), we get a palindrome (41300222200314).

The spelling of 20100220000212 in words is "twenty trillion, one hundred billion, two hundred twenty million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 557 983 1114 1671 1966 2228 2949 3342 3932 5898 6127 6684 10813 11796 12254 18381 21626 24508 32439 36762 43252 64878 73524 129756 278111 547531 556222 834333 1095062 1112444 1642593 1668666 2190124 3059221 3285186 3337332 6022841 6118442 6570372 9177663 12045682 12236884 18068523 18355326 24091364 36137046 36710652 72274092 154907827 273383113 309815654 464723481 546766226 619631308 820149339 929446962 1093532452 1640298678 1703986097 1858893924 3007214243 3280597356 3407972194 5111958291 6014428486 6815944388 9021642729 10223916582 12028856972 18043285458 20447833164 36086570916 152274393941 304548787882 456823181823 609097575764 913646363646 1675018333351 1827292727292 3350036666702 5025055000053 6700073333404 10050110000106 20100220000212