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102130200004430 = 251317197293800623
BaseRepresentation
bin10111001110001100001010…
…010010101100011101001110
3111101121112220020102220101002
4113032030022102230131032
5101341300122200120210
61001113544405420302
730340443364341053
oct2716141222543516
9441545806386332
10102130200004430
112a5a61a1412404
12b55562540a692
1344caab4b3b150
141b311b155102a
15bc1992e6b4a5
hex5ce30a4ac74e

102130200004430 has 128 divisors (see below), whose sum is σ = 211404472570368. Its totient is φ = 35190680297472.

The previous prime is 102130200004367. The next prime is 102130200004499. The reversal of 102130200004430 is 34400002031201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127163099 + ... + 127963721.

It is an arithmetic number, because the mean of its divisors is an integer number (1651597441956).

Almost surely, 2102130200004430 is an apocalyptic number.

102130200004430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102130200004430 is an abundant number, since it is smaller than the sum of its proper divisors (109274272565938).

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

102130200004430 is a wasteful number, since it uses less digits than its factorization.

102130200004430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801150.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 102130200004430 its reverse (34400002031201), we get a palindrome (136530202035631).

The spelling of 102130200004430 in words is "one hundred two trillion, one hundred thirty billion, two hundred million, four thousand, four hundred thirty".

Divisors: 1 2 5 10 13 17 26 34 65 85 130 170 197 221 293 394 442 586 985 1105 1465 1970 2210 2561 2930 3349 3809 4981 5122 6698 7618 9962 12805 16745 19045 24905 25610 33490 38090 43537 49810 57721 64753 87074 115442 129506 217685 288605 323765 435370 577210 647530 750373 800623 981257 1500746 1601246 1962514 3751865 4003115 4906285 7503730 8006230 9812570 10408099 12756341 13610591 20816198 25512682 27221182 52040495 63781705 68052955 104080990 127563410 136105910 157722731 176937683 234582539 315445462 353875366 469165078 788613655 884688415 1172912695 1577227310 1769376830 2050395503 2345825390 2681286427 3049573007 3987903163 4100791006 5362572854 6099146014 7975806326 10251977515 13406432135 15247865035 19939515815 20503955030 26812864270 30495730070 34856723551 39879031630 46212760183 51842741119 69713447102 92425520366 103685482238 174283617755 231063800915 259213705595 348567235510 462127601830 518427411190 600765882379 785616923111 1201531764758 1571233846222 3003829411895 3928084615555 6007658823790 7856169231110 10213020000443 20426040000886 51065100002215 102130200004430