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100211110012 = 221321931389647
BaseRepresentation
bin101110101010100001…
…1000011000001111100
3100120122212212211202001
41131111003003001330
53120213021010022
6114011503512044
710145216244406
oct1352503030174
9316585784661
10100211110012
1139554617192
12175085b8624
1395b0486900
144bc90d5b76
152917a3ab27
hex17550c307c

100211110012 has 144 divisors (see below), whose sum is σ = 207189964800. Its totient is φ = 42229175040.

The previous prime is 100211109997. The next prime is 100211110037. The reversal of 100211110012 is 210011112001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154885473 + ... + 154886119.

It is an arithmetic number, because the mean of its divisors is an integer number (1438819200).

Almost surely, 2100211110012 is an apocalyptic number.

It is an amenable number.

100211110012 is an abundant number, since it is smaller than the sum of its proper divisors (106978854788).

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

100211110012 is a wasteful number, since it uses less digits than its factorization.

100211110012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100211110012 its reverse (210011112001), we get a palindrome (310222222013).

The spelling of 100211110012 in words is "one hundred billion, two hundred eleven million, one hundred ten thousand, twelve".

Divisors: 1 2 4 13 19 26 31 38 52 62 76 124 169 247 338 389 403 494 589 647 676 778 806 988 1178 1294 1556 1612 2356 2588 3211 5057 5239 6422 7391 7657 8411 10114 10478 12059 12293 12844 14782 15314 16822 20057 20228 20956 24118 24586 29564 30628 33644 40114 48236 49172 65741 80228 96083 99541 109343 131482 156767 159809 192166 199082 218686 229121 251683 260741 262964 313534 319618 381083 384332 398164 437372 458242 503366 521482 627068 639236 762166 916484 1006732 1042964 1249079 1524332 2037971 2077517 2498158 2978573 3271879 3389633 4075942 4155034 4781977 4954079 4996316 5957146 6543758 6779266 7802173 8151884 8310068 9563954 9908158 11914292 13087516 13558532 15604346 19127908 19816316 31208692 38721449 42534427 62165701 64403027 77442898 85068854 101428249 124331402 128806054 148241287 154885796 170137708 202856498 248662804 257612108 296482574 405712996 592965148 808154113 1318567237 1616308226 1927136731 2637134474 3232616452 3854273462 5274268948 7708546924 25052777503 50105555006 100211110012