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2032130103102 = 232112137249711
BaseRepresentation
bin11101100100100100011…
…001001001011100111110
321012021021122022012110200
4131210210121021130332
5231243300301244402
64153314144344330
7266550035606031
oct35444431113476
97167248265420
102032130103102
11713904513900
12289a103150a6
131198240271b8
14704d9b7d018
1537cd8b1821c
hex1d92464973e

2032130103102 has 108 divisors (see below), whose sum is σ = 4875286114608. Its totient is φ = 611289835200.

The previous prime is 2032130103083. The next prime is 2032130103109. The reversal of 2032130103102 is 2013010312302.

2032130103102 is a `hidden beast` number, since 2 + 0 + 321 + 30 + 1 + 0 + 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 (2032130103109) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 40854027 + ... + 40903737.

Almost surely, 22032130103102 is an apocalyptic number.

2032130103102 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 2032130103102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437643057304).

2032130103102 is an abundant number, since it is smaller than the sum of its proper divisors (2843156011506).

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

2032130103102 is a wasteful number, since it uses less digits than its factorization.

2032130103102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50015 (or 49864 counting only the distinct ones).

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

Adding to 2032130103102 its reverse (2013010312302), we get a palindrome (4045140415404).

The spelling of 2032130103102 in words is "two trillion, thirty-two billion, one hundred thirty million, one hundred three thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 137 198 242 274 363 411 726 822 1089 1233 1507 2178 2466 3014 4521 9042 13563 16577 18769 27126 33154 37538 49711 49731 56307 99422 99462 112614 149133 149193 168921 206459 298266 298386 337842 412918 447399 546821 619377 894798 1093642 1238754 1640463 1858131 2271049 3280926 3716262 4542098 4921389 6015031 6810407 6813147 9842778 12030062 13620814 13626294 18045093 20431221 20439441 36090186 40862442 40878882 54135279 61293663 74914477 108270558 122587326 149828954 224743431 449486862 674230293 824059247 933025759 1348460586 1648118494 1866051518 2472177741 2799077277 4944355482 5598154554 7416533223 8397231831 10263283349 14833066446 16794463662 20526566698 30789850047 61579700094 92369550141 112896116839 184739100282 225792233678 338688350517 677376701034 1016065051551 2032130103102