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100210021212 = 223723383135427
BaseRepresentation
bin101110101010011111…
…0111001001101011100
3100120122210211112012010
41131110332321031130
53120212231134322
6114011424311220
710145204061150
oct1352476711534
9316583745163
10100210021212
1139553a43154
1217508172510
1395b0195152
144bc8cd1060
1529178c320c
hex1754fb935c

100210021212 has 96 divisors (see below), whose sum is σ = 279575396352. Its totient is φ = 27314882496.

The previous prime is 100210021183. The next prime is 100210021229. The reversal of 100210021212 is 212120012001.

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, 672243 + ... + 807669.

It is an arithmetic number, because the mean of its divisors is an integer number (2912243712).

Almost surely, 2100210021212 is an apocalyptic number.

100210021212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100210021212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139787698176).

100210021212 is an abundant number, since it is smaller than the sum of its proper divisors (179365375140).

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

100210021212 is a wasteful number, since it uses less digits than its factorization.

100210021212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135847 (or 135845 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100210021212 its reverse (212120012001), we get a palindrome (312330033213).

The spelling of 100210021212 in words is "one hundred billion, two hundred ten million, twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 383 483 644 766 966 1149 1532 1932 2298 2681 4596 5362 8043 8809 10724 16086 17618 26427 32172 35236 52854 61663 105708 123326 135427 184989 246652 270854 369978 406281 541708 739956 812562 947989 1625124 1895978 2843967 3114821 3791956 5687934 6229642 9344463 11375868 12459284 18688926 21803747 37377852 43607494 51868541 65411241 87214988 103737082 130822482 155605623 207474164 261644964 311211246 363079787 622422492 726159574 1089239361 1192976443 1452319148 2178478722 2385952886 3578929329 4356957444 4771905772 7157858658 8350835101 14315717316 16701670202 25052505303 33403340404 50105010606 100210021212