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2002102102320 = 243515157419623
BaseRepresentation
bin11101001000100110100…
…101011010100100110000
321002101202221022201020120
4131020212211122210300
5230300301114233240
64131430352210240
7264434646036165
oct35104645324460
97071687281216
102002102102320
117020a5495431
1228402bb39980
13116a49c0a0b8
146cc8bb2606c
153712c80cad0
hex1d22695a930

2002102102320 has 160 divisors (see below), whose sum is σ = 6249356872704. Its totient is φ = 530210688000.

The previous prime is 2002102102303. The next prime is 2002102102327. The reversal of 2002102102320 is 232012012002.

It is a happy number.

It is a super-2 number, since 2×20021021023202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2002102102320.

It is not an unprimeable number, because it can be changed into a prime (2002102102327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208049029 + ... + 208058651.

Almost surely, 22002102102320 is an apocalyptic number.

2002102102320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002102102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3124678436352).

2002102102320 is an abundant number, since it is smaller than the sum of its proper divisors (4247254770384).

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

2002102102320 is a wasteful number, since it uses less digits than its factorization.

2002102102320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15531 (or 15525 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 2002102102320 its reverse (232012012002), we get a palindrome (2234114114322).

The spelling of 2002102102320 in words is "two trillion, two billion, one hundred two million, one hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 151 240 302 453 604 755 906 1208 1510 1812 2265 2416 3020 3624 4530 5741 6040 7248 9060 9623 11482 12080 17223 18120 19246 22964 28705 28869 34446 36240 38492 45928 48115 57410 57738 68892 76984 86115 91856 96230 114820 115476 137784 144345 153968 172230 192460 229640 230952 275568 288690 344460 384920 459280 461904 577380 688920 769840 866891 1154760 1377840 1453073 1733782 2309520 2600673 2906146 3467564 4334455 4359219 5201346 5812292 6935128 7265365 8668910 8718438 10402692 11624584 13003365 13870256 14530730 17337820 17436876 20805384 21796095 23249168 26006730 29061460 34675640 34873752 41610768 43592190 52013460 55245643 58122920 69351280 69747504 87184380 104026920 110491286 116245840 165736929 174368760 208053840 220982572 276228215 331473858 348737520 441965144 552456430 662947716 828684645 883930288 1104912860 1325895432 1657369290 2209825720 2651790864 3314738580 4419651440 6629477160 8342092093 13258954320 16684184186 25026276279 33368368372 41710460465 50052552558 66736736744 83420920930 100105105116 125131381395 133473473488 166841841860 200210210232 250262762790 333683683720 400420420464 500525525580 667367367440 1001051051160 2002102102320