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100332213212 = 227211432773907
BaseRepresentation
bin101110101110001000…
…1000001001111011100
3100120222022202112002202
41131130101001033130
53120440021310322
6114031511311032
710151216512100
oct1353421011734
9316868675082
10100332213212
1139606a11880
121754107b478
1395cc5a89ca
144bdb21b900
1529234ad292
hex175c4413dc

100332213212 has 144 divisors (see below), whose sum is σ = 228879116928. Its totient is φ = 38033815680.

The previous prime is 100332213139. The next prime is 100332213221. The reversal of 100332213212 is 212312233001.

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, 25678163 + ... + 25682069.

It is an arithmetic number, because the mean of its divisors is an integer number (1589438312).

Almost surely, 2100332213212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100332213212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114439558464).

100332213212 is an abundant number, since it is smaller than the sum of its proper divisors (128546903716).

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

100332213212 is a wasteful number, since it uses less digits than its factorization.

100332213212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4256 (or 4247 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 100332213212 its reverse (212312233001), we get a palindrome (312644446213).

The spelling of 100332213212 in words is "one hundred billion, three hundred thirty-two million, two hundred thirteen thousand, two hundred twelve".

Divisors: 1 2 4 7 11 14 22 28 43 44 49 77 86 98 154 172 196 277 301 308 473 539 554 602 946 1078 1108 1204 1892 1939 2107 2156 3047 3311 3878 3907 4214 6094 6622 7756 7814 8428 11911 12188 13244 13573 15628 21329 23177 23822 27146 27349 42658 42977 46354 47644 54292 54698 83377 85316 85954 92708 109396 131021 149303 166754 168001 171908 191443 262042 298606 300839 333508 336002 382886 524084 583639 597212 601678 672004 765772 917147 1082239 1167278 1176007 1203356 1834294 1848011 2105873 2164478 2334556 2352014 3668588 3696022 4211746 4328956 4704028 6420029 7392044 7575673 8232049 8423492 11904629 12840058 12936077 15151346 16464098 23809258 25680116 25872154 30302692 32928196 46536277 47618516 51744308 53029711 83332403 90552539 93072554 106059422 166664806 181105078 186145108 212118844 325753939 333329612 362210156 511899047 583326821 651507878 1023798094 1166653642 1303015756 2047596188 2280277573 2333307284 3583293329 4560555146 7166586658 9121110292 14333173316 25083053303 50166106606 100332213212