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2032214122302 = 237313253929917
BaseRepresentation
bin11101100100101001011…
…001101001111100111110
321012021111111101211010220
4131210221121221330332
5231243433303403202
64153330345242210
7266552106012000
oct35445131517476
97167444354126
102032214122302
1171394798a761
12289a34493366
13119838563ac0
1470506db0370
1537ce11b2abc
hex1d929669f3e

2032214122302 has 128 divisors (see below), whose sum is σ = 5106643584000. Its totient is φ = 535739557248.

The previous prime is 2032214122241. The next prime is 2032214122303.

2032214122302 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2032214122303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67913448 + ... + 67943364.

It is an arithmetic number, because the mean of its divisors is an integer number (39895653000).

Almost surely, 22032214122302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2032214122302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2553321792000).

2032214122302 is an abundant number, since it is smaller than the sum of its proper divisors (3074429461698).

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

2032214122302 is a wasteful number, since it uses less digits than its factorization.

2032214122302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32495 (or 32481 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The spelling of 2032214122302 in words is "two trillion, thirty-two billion, two hundred fourteen million, one hundred twenty-two thousand, three hundred two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 182 273 294 343 546 637 686 1029 1274 1911 2058 2539 3822 4459 5078 7617 8918 13377 15234 17773 26754 29917 33007 35546 53319 59834 66014 89751 99021 106638 124411 179502 198042 209419 231049 248822 373233 388921 418838 462098 628257 693147 746466 777842 870877 1166763 1256514 1386294 1465933 1617343 1741754 2333526 2612631 2722447 2931866 3234686 4397799 4852029 5225262 5444894 8167341 8795598 9704058 10261531 11321401 16334682 19057129 20523062 22642802 30784593 33964203 38114258 57171387 61569186 67928406 75959263 114342774 133399903 151918526 227877789 266799806 400199709 455755578 531714841 800399418 987470419 1063429682 1595144523 1974940838 2962411257 3190289046 3722003887 5924822514 6912292933 7444007774 11166011661 13824585866 20736878799 22332023322 26054027209 41473757598 48386050531 52108054418 78162081627 96772101062 145158151593 156324163254 290316303186 338702353717 677404707434 1016107061151 2032214122302