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2199161299302 = 2321125147992381
BaseRepresentation
bin100000000000001000001…
…110100110000101100110
321210020102022222010101200
4200000020032212011212
5242012340243034202
64402140350503330
7314612160421362
oct40001016460546
97706368863350
102199161299302
11778728248810
122b6266804b46
1312c4c2ba0336
14786234102a2
153c3129d2e1c
hex200083a6166

2199161299302 has 96 divisors (see below), whose sum is σ = 5229678504960. Its totient is φ = 662364600000.

The previous prime is 2199161299277. The next prime is 2199161299339. The reversal of 2199161299302 is 2039921619912.

2199161299302 is a `hidden beast` number, since 2 + 1 + 99 + 161 + 2 + 99 + 302 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23759152 + ... + 23851532.

It is an arithmetic number, because the mean of its divisors is an integer number (54475817760).

Almost surely, 22199161299302 is an apocalyptic number.

2199161299302 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2199161299302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2614839252480).

2199161299302 is an abundant number, since it is smaller than the sum of its proper divisors (3030517205658).

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

2199161299302 is a wasteful number, since it uses less digits than its factorization.

2199161299302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93130 (or 93127 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 54.

The spelling of 2199161299302 in words is "two trillion, one hundred ninety-nine billion, one hundred sixty-one million, two hundred ninety-nine thousand, three hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 251 479 502 753 958 1437 1506 2259 2761 2874 4311 4518 5269 5522 8283 8622 10538 15807 16566 24849 31614 47421 49698 92381 94842 120229 184762 240458 277143 360687 554286 721374 831429 1016191 1082061 1322519 1662858 2032382 2164122 2645038 3048573 3967557 6097146 7935114 9145719 11902671 18291438 23187631 23805342 44250499 46375262 69562893 88500998 132751497 139125786 208688679 255063941 265502994 398254491 417377358 486755489 510127882 765191823 796508982 973510978 1460266467 1530383646 2295575469 2920532934 4380799401 4591150938 8761598802 11106875249 22213750498 33320625747 66641251494 99961877241 122175627739 199923754482 244351255478 366526883217 733053766434 1099580649651 2199161299302