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2002330122320 = 245114748412237
BaseRepresentation
bin11101001000110100001…
…011001111100001010000
321002102100211101022212202
4131020310023033201100
5230301233002403240
64131505135342332
7264443415134423
oct35106413174120
97072324338782
102002330122320
11702202176210
122840943819a8
13116a85225088
146ccb011d9ba
153714284e315
hex1d2342cf850

2002330122320 has 80 divisors (see below), whose sum is σ = 5186693530368. Its totient is φ = 712628113920.

The previous prime is 2002330122319. The next prime is 2002330122329. The reversal of 2002330122320 is 232210332002.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2002330122292 and 2002330122301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002330122329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24164759 + ... + 24247478.

Almost surely, 22002330122320 is an apocalyptic number.

2002330122320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002330122320 is an abundant number, since it is smaller than the sum of its proper divisors (3184363408048).

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

2002330122320 is a wasteful number, since it uses less digits than its factorization.

2002330122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48412308 (or 48412302 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 2002330122320 its reverse (232210332002), we get a palindrome (2234540454322).

The spelling of 2002330122320 in words is "two trillion, two billion, three hundred thirty million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 47 55 80 88 94 110 176 188 220 235 376 440 470 517 752 880 940 1034 1880 2068 2585 3760 4136 5170 8272 10340 20680 41360 48412237 96824474 193648948 242061185 387297896 484122370 532534607 774595792 968244740 1065069214 1936489480 2130138428 2275375139 2662673035 3872978960 4260276856 4550750278 5325346070 8520553712 9101500556 10650692140 11376875695 18203001112 21301384280 22753751390 25029126529 36406002224 42602768560 45507502780 50058253058 91015005560 100116506116 125145632645 182030011120 200233012232 250291265290 400466024464 500582530580 1001165061160 2002330122320