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10000100112212 = 22710313738366083
BaseRepresentation
bin1001000110000101010001…
…1010100011011101010100
31022102000000011121110222002
42101201110122203131110
52302320201112042322
633133552122454432
72051324542314530
oct221412432433524
938360004543862
1010000100112212
1132060228a1891
121156105364418
1357700bb0b112
1426801654cbc0
151251d3b1ac92
hex918546a3754

10000100112212 has 96 divisors (see below), whose sum is σ = 20395201462272. Its totient is φ = 4202104686336.

The previous prime is 10000100112169. The next prime is 10000100112239. The reversal of 10000100112212 is 21221100100001.

It is a junction number, because it is equal to n+sod(n) for n = 10000100112193 and 10000100112202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151293323 + ... + 151359405.

It is an arithmetic number, because the mean of its divisors is an integer number (212450015232).

Almost surely, 210000100112212 is an apocalyptic number.

It is an amenable number.

10000100112212 is an abundant number, since it is smaller than the sum of its proper divisors (10395101350060).

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

10000100112212 is a wasteful number, since it uses less digits than its factorization.

10000100112212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66717 (or 66715 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10000100112212 its reverse (21221100100001), we get a palindrome (31221200212213).

The spelling of 10000100112212 in words is "ten trillion, one hundred million, one hundred twelve thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 103 137 206 274 383 412 548 721 766 959 1442 1532 1918 2681 2884 3836 5362 10724 14111 28222 39449 52471 56444 66083 78898 98777 104942 132166 157796 197554 209884 264332 276143 367297 395108 462581 552286 734594 925162 1104572 1469188 1850324 5404513 6806549 9053371 10809026 13613098 18106742 21618052 25309789 27226196 36213484 37831591 47645843 50619578 63373597 75663182 95291686 101239156 126747194 151326364 177168523 190583372 253494388 354337046 708674092 932497213 1864994426 2606908267 3467441093 3729988852 5213816534 6527480491 6934882186 10427633068 13054960982 13869764372 18248357869 24272087651 26109921964 36496715738 48544175302 72993431476 97088350604 357146432579 714292865158 1428585730316 2500025028053 5000050056106 10000100112212