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120100430100 = 223527471216823
BaseRepresentation
bin110111111011010001…
…0110010000100010100
3102111000000010222200210
41233312202302010110
53431431202230400
6131101241005420
711451125545350
oct1576642620424
9374000128623
10120100430100
1146a3061a802
121b339483870
13b42cc4b871
145b5480a460
1531cdbe2950
hex1bf68b2114

120100430100 has 144 divisors (see below), whose sum is σ = 405582041088. Its totient is φ = 26867429760.

The previous prime is 120100430057. The next prime is 120100430117. The reversal of 120100430100 is 1034001021.

It is a happy number.

It is a super-2 number, since 2×1201004301002 (a number of 23 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 509712 + ... + 707111.

It is an arithmetic number, because the mean of its divisors is an integer number (2816541952).

Almost surely, 2120100430100 is an apocalyptic number.

120100430100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120100430100 is an abundant number, since it is smaller than the sum of its proper divisors (285481610988).

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

120100430100 is a wasteful number, since it uses less digits than its factorization.

120100430100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216894 (or 1216887 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 120100430100 its reverse (1034001021), we get a palindrome (121134431121).

The spelling of 120100430100 in words is "one hundred twenty billion, one hundred million, four hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 47 50 60 70 75 84 94 100 105 140 141 150 175 188 210 235 282 300 329 350 420 470 525 564 658 700 705 940 987 1050 1175 1316 1410 1645 1974 2100 2350 2820 3290 3525 3948 4700 4935 6580 7050 8225 9870 14100 16450 19740 24675 32900 49350 98700 1216823 2433646 3650469 4867292 6084115 7300938 8517761 12168230 14601876 17035522 18252345 24336460 25553283 30420575 34071044 36504690 42588805 51106566 57190681 60841150 73009380 85177610 91261725 102213132 114381362 121682300 127766415 170355220 171572043 182523450 212944025 228762724 255532830 285953405 343144086 365046900 400334767 425888050 511065660 571906810 638832075 686288172 800669534 851776100 857860215 1143813620 1201004301 1277664150 1429767025 1601339068 1715720430 2001673835 2402008602 2555328300 2859534050 3431440860 4003347670 4289301075 4804017204 5719068100 6005021505 8006695340 8578602150 10008369175 12010043010 17157204300 20016738350 24020086020 30025107525 40033476700 60050215050 120100430100