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2101211122032 = 2432112621506113
BaseRepresentation
bin11110100100111001111…
…100010100100101110000
321102212121000102120022100
4132210321330110211300
5233411240021401112
64245141050340400
7304543653563421
oct36447174244560
97385530376270
102101211122032
11740133999890
1229b28b42a700
131231b2c60769
14739b06d7648
15399cd6ed2dc
hex1e939f14970

2101211122032 has 120 divisors (see below), whose sum is σ = 6417521471088. Its totient is φ = 636486451200.

The previous prime is 2101211121991. The next prime is 2101211122081. The reversal of 2101211122032 is 2302211121012.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2101211121996 and 2101211122014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3898608 + ... + 4404720.

Almost surely, 22101211122032 is an apocalyptic number.

2101211122032 is a gapful number since it is divisible by the number (22) 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 2101211122032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3208760735544).

2101211122032 is an abundant number, since it is smaller than the sum of its proper divisors (4316310349056).

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

2101211122032 is a wasteful number, since it uses less digits than its factorization.

2101211122032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508759 (or 508750 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2101211122032 its reverse (2302211121012), we get a palindrome (4403422243044).

The spelling of 2101211122032 in words is "two trillion, one hundred one billion, two hundred eleven million, one hundred twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 2621 5242 7863 10484 15726 20968 23589 28831 31452 41936 47178 57662 62904 86493 94356 115324 125808 172986 188712 230648 259479 345972 377424 461296 506113 518958 691944 1012226 1037916 1383888 1518339 2024452 2075832 3036678 4048904 4151664 4555017 5567243 6073356 8097808 9110034 11134486 12146712 16701729 18220068 22268972 24293424 33403458 36440136 44537944 50105187 66806916 72880272 89075888 100210374 133613832 200420748 267227664 400841496 801682992 1326522173 2653044346 3979566519 5306088692 7959133038 10612177384 11938699557 14591743903 15918266076 21224354768 23877399114 29183487806 31836532152 43775231709 47754798228 58366975612 63673064304 87550463418 95509596456 116733951224 131325695127 175100926836 191019192912 233467902448 262651390254 350201853672 525302780508 700403707344 1050605561016 2101211122032