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1002012022112 = 251961121322273
BaseRepresentation
bin11101001010011001001…
…00100001010101100000
310112210100221101201221112
432211030210201111200
5112404110034201422
62044152403042452
7132251535441503
oct16451444412540
93483327351845
101002012022112
11356a50733992
12142243970428
1373649091c7a
14366d775113a
151b0e8200ee2
hexe94c921560

1002012022112 has 96 divisors (see below), whose sum is σ = 2112414484320. Its totient is φ = 466450513920.

The previous prime is 1002012022091. The next prime is 1002012022189. The reversal of 1002012022112 is 2112202102001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44976608 + ... + 44998880.

It is an arithmetic number, because the mean of its divisors is an integer number (22004317545).

Almost surely, 21002012022112 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 1002012022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056207242160).

1002012022112 is an abundant number, since it is smaller than the sum of its proper divisors (1110402462208).

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

1002012022112 is a wasteful number, since it uses less digits than its factorization.

1002012022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23576 (or 23568 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1002012022112 its reverse (2112202102001), we get a palindrome (3114214124113).

The spelling of 1002012022112 in words is "one trillion, two billion, twelve million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 61 76 122 152 244 304 488 608 976 1159 1213 1952 2318 2426 4636 4852 9272 9704 18544 19408 22273 23047 37088 38816 44546 46094 73993 89092 92188 147986 178184 184376 295972 356368 368752 423187 591944 712736 737504 846374 1183888 1358653 1405867 1692748 2367776 2717306 2811734 3385496 5434612 5623468 6770992 10869224 11246936 13541984 21738448 22493872 25814407 27017149 43476896 44987744 51628814 54034298 103257628 108068596 206515256 216137192 413030512 432274384 513325831 826061024 864548768 1026651662 1648046089 2053303324 3296092178 4106606648 6592184356 8213213296 13184368712 16426426592 26368737424 31312875691 52737474848 62625751382 125251502764 250503005528 501006011056 1002012022112