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2002113303102 = 23211671031465249
BaseRepresentation
bin11101001000100111010…
…000001001001000111110
321002101210201101202211100
4131020213100021020332
5230300312001144402
64131431432233530
7264435143166423
oct35104720111076
97071721352740
102002113303102
11702100845780
1228403383b8a6
13116a4c32c393
146cc8d3ddd4a
153712d7c171c
hex1d22740923e

2002113303102 has 96 divisors (see below), whose sum is σ = 4849532064000. Its totient is φ = 591842972160.

The previous prime is 2002113303101. The next prime is 2002113303121. The reversal of 2002113303102 is 2013033112002.

2002113303102 is a `hidden beast` number, since 2 + 0 + 0 + 21 + 1 + 330 + 310 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002113303101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 633774 + ... + 2099022.

It is an arithmetic number, because the mean of its divisors is an integer number (50515959000).

Almost surely, 22002113303102 is an apocalyptic number.

2002113303102 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 2002113303102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2424766032000).

2002113303102 is an abundant number, since it is smaller than the sum of its proper divisors (2847418760898).

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

2002113303102 is a wasteful number, since it uses less digits than its factorization.

2002113303102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1465438 (or 1465435 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2002113303102 its reverse (2013033112002), we get a palindrome (4015146415104).

The spelling of 2002113303102 in words is "two trillion, two billion, one hundred thirteen million, three hundred three thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 67 99 103 134 198 201 206 309 402 603 618 737 927 1133 1206 1474 1854 2211 2266 3399 4422 6633 6798 6901 10197 13266 13802 20394 20703 41406 62109 75911 124218 151822 227733 455466 683199 1366398 1465249 2930498 4395747 8791494 13187241 16117739 26374482 32235478 48353217 96706434 98171683 145059651 150920647 196343366 290119302 294515049 301841294 452761941 589030098 883545147 905523882 1079888513 1358285823 1660127117 1767090294 2159777026 2716571646 3239665539 3320254234 4980381351 6479331078 9718996617 9960762702 10111683349 14941144053 19437993234 20223366698 29882288106 30335050047 60670100094 91005150141 111228516839 182010300282 222457033678 333685550517 667371101034 1001056651551 2002113303102