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2002120302 = 237213607863
BaseRepresentation
bin111011101010101…
…1110111001101110
312011112100020201210
41313111132321232
513100020322202
6530400215250
7100420512300
oct16725367156
95145306653
102002120302
11938165686
1247a60a526
1325ba3a490
1414dc8b970
15bab80c6c
hex7755ee6e

2002120302 has 96 divisors (see below), whose sum is σ = 5030387712. Its totient is φ = 526550976.

The previous prime is 2002120297. The next prime is 2002120321. The reversal of 2002120302 is 2030212002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2319523 + ... + 2320385.

It is an arithmetic number, because the mean of its divisors is an integer number (52399872).

Almost surely, 22002120302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002120302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2515193856).

2002120302 is an abundant number, since it is smaller than the sum of its proper divisors (3028267410).

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

2002120302 is a wasteful number, since it uses less digits than its factorization.

2002120302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2002120302 is about 44745.0589674435. The cubic root of 2002120302 is about 1260.3661281688.

Adding to 2002120302 its reverse (2030212002), we get a palindrome (4032332304).

The spelling of 2002120302 in words is "two billion, two million, one hundred twenty thousand, three hundred two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 182 273 294 546 607 637 863 1214 1274 1726 1821 1911 2589 3642 3822 4249 5178 6041 7891 8498 11219 12082 12747 15782 18123 22438 23673 25494 29743 33657 36246 42287 47346 55237 59486 67314 78533 84574 89229 110474 126861 157066 165711 178458 235599 253722 331422 386659 471198 523841 549731 773318 1047682 1099462 1159977 1571523 1649193 2319954 3143046 3298386 3666887 6809933 7333774 11000661 13619866 20429799 22001322 25668209 40859598 47669531 51336418 77004627 95339062 143008593 154009254 286017186 333686717 667373434 1001060151 2002120302