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136102121610 = 235713293916963
BaseRepresentation
bin111111011000001010…
…0011001000010001010
3111000022012011010210220
41332300110121002022
54212214120342420
6142305140450510
712555510642240
oct1766024310212
9430265133726
10136102121610
11527a2110444
12224643a9a36
13cab0177990
146831a9c790
15381891e840
hex1fb051908a

136102121610 has 128 divisors (see below), whose sum is σ = 402185226240. Its totient is φ = 28704589056.

The previous prime is 136102121599. The next prime is 136102121611. The reversal of 136102121610 is 16121201631.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (136102121611) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8014989 + ... + 8031951.

It is an arithmetic number, because the mean of its divisors is an integer number (3142072080).

Almost surely, 2136102121610 is an apocalyptic number.

136102121610 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 136102121610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201092613120).

136102121610 is an abundant number, since it is smaller than the sum of its proper divisors (266083104630).

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

136102121610 is a wasteful number, since it uses less digits than its factorization.

136102121610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19932.

The product of its (nonzero) digits is 432, while the sum is 24.

The spelling of 136102121610 in words is "one hundred thirty-six billion, one hundred two million, one hundred twenty-one thousand, six hundred ten".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 455 546 910 1365 2730 2939 5878 8817 14695 16963 17634 20573 29390 33926 38207 41146 44085 50889 61719 76414 84815 88170 101778 102865 114621 118741 123438 169630 191035 205730 220519 229242 237482 254445 267449 308595 356223 382070 441038 508890 534898 573105 593705 617190 661557 712446 802347 1102595 1146210 1187410 1323114 1337245 1543633 1604694 1781115 2205190 2674490 3087266 3307785 3562230 4011735 4630899 6615570 7718165 8023470 9261798 15436330 23154495 46308990 49854257 99708514 149562771 249271285 299125542 348979799 498542570 648105341 697959598 747813855 1046939397 1296210682 1495627710 1744898995 1944316023 2093878794 3240526705 3489797990 3888632046 4536737387 5234696985 6481053410 9073474774 9721580115 10469393970 13610212161 19443160230 22683686935 27220424322 45367373870 68051060805 136102121610