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10100344112430 = 235111315714996131
BaseRepresentation
bin1001001011111010101101…
…1011000100010100101110
31022202120202100101022120220
42102332223123010110232
52310441001043044210
633252011203352210
72061503641256115
oct222765333042456
938676670338526
1010100344112430
113244593a32960
121171620982666
135835c603c390
1426cc05b66c7c
15127aee4a1c70
hex92fab6c452e

10100344112430 has 128 divisors (see below), whose sum is σ = 28660127602176. Its totient is φ = 2245820428800.

The previous prime is 10100344112423. The next prime is 10100344112447. The reversal of 10100344112430 is 3421144300101.

It is a self number, because there is not a number n which added to its sum of digits gives 10100344112430.

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, 6824536 + ... + 8171595.

It is an arithmetic number, because the mean of its divisors is an integer number (223907246892).

Almost surely, 210100344112430 is an apocalyptic number.

10100344112430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10100344112430 is an abundant number, since it is smaller than the sum of its proper divisors (18559783489746).

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

10100344112430 is a wasteful number, since it uses less digits than its factorization.

10100344112430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14996322.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10100344112430 its reverse (3421144300101), we get a palindrome (13521488412531).

The spelling of 10100344112430 in words is "ten trillion, one hundred billion, three hundred forty-four million, one hundred twelve thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 130 143 157 165 195 286 314 330 390 429 471 715 785 858 942 1430 1570 1727 2041 2145 2355 3454 4082 4290 4710 5181 6123 8635 10205 10362 12246 17270 20410 22451 25905 30615 44902 51810 61230 67353 112255 134706 224510 336765 673530 14996131 29992262 44988393 74980655 89976786 149961310 164957441 194949703 224941965 329914882 389899406 449883930 494872323 584849109 824787205 974748515 989744646 1169698218 1649574410 1949497030 2144446733 2354392567 2474361615 2924245545 4288893466 4708785134 4948723230 5848491090 6433340199 7063177701 10722233665 11771962835 12866680398 14126355402 21444467330 23543925670 25898318237 30607103371 32166700995 35315888505 51796636474 61214206742 64333401990 70631777010 77694954711 91821310113 129491591185 153035516855 155389909422 183642620226 258983182370 306071033710 336678137081 388474773555 459106550565 673356274162 776949547110 918213101130 1010034411243 1683390685405 2020068822486 3366781370810 5050172056215 10100344112430