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13102121130 = 2357412695657
BaseRepresentation
bin11000011001111001…
…01000000010101010
31020211002221201022120
430030330220002222
5203313120334010
610004035532110
7642453122610
oct141474500252
936732851276
1013102121130
11561389558a
122657a5a036
13130a5a8ac7
148c414d6b0
1551a3c4e70
hex30cf280aa

13102121130 has 128 divisors (see below), whose sum is σ = 36957150720. Its totient is φ = 2910351360.

The previous prime is 13102121129. The next prime is 13102121147. The reversal of 13102121130 is 3112120131.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2313262 + ... + 2318918.

It is an arithmetic number, because the mean of its divisors is an integer number (288727740).

Almost surely, 213102121130 is an apocalyptic number.

13102121130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13102121130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18478575360).

13102121130 is an abundant number, since it is smaller than the sum of its proper divisors (23855029590).

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

13102121130 is a wasteful number, since it uses less digits than its factorization.

13102121130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5984.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 13102121130 its reverse (3112120131), we get a palindrome (16214241261).

Subtracting from 13102121130 its reverse (3112120131), we obtain a palindrome (9990000999).

The spelling of 13102121130 in words is "thirteen billion, one hundred two million, one hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 41 42 70 82 105 123 205 210 246 269 287 410 538 574 615 807 861 1230 1345 1435 1614 1722 1883 2690 2870 3766 4035 4305 5649 5657 8070 8610 9415 11029 11298 11314 16971 18830 22058 28245 28285 33087 33942 39599 55145 56490 56570 66174 77203 79198 84855 110290 118797 154406 165435 169710 197995 231609 231937 237594 330870 386015 395990 463218 463874 593985 695811 772030 1158045 1159685 1187970 1391622 1521733 1623559 2316090 2319370 3043466 3247118 3479055 4565199 4870677 6958110 7608665 8117795 9130398 9741354 10652131 15217330 16235590 21304262 22825995 24353385 31956393 45651990 48706770 53260655 62391053 63912786 106521310 124782106 159781965 187173159 311955265 319563930 374346318 436737371 623910530 873474742 935865795 1310212113 1871731590 2183686855 2620424226 4367373710 6551060565 13102121130