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130402100010 = 235713316915073
BaseRepresentation
bin111100101110010010…
…0100010001100101010
3110110120221120001010210
41321130210202030222
54114030414200020
6135523401321550
712264325363410
oct1713444421452
9413527501123
10130402100010
1150337649896
12213334962b6
13c3b229cc30
146450a592b0
1535d32de3e0
hex1e5c92232a

130402100010 has 128 divisors (see below), whose sum is σ = 385334853120. Its totient is φ = 27502903296.

The previous prime is 130402099981. The next prime is 130402100047. The reversal of 130402100010 is 10001204031.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8643834 + ... + 8658906.

It is an arithmetic number, because the mean of its divisors is an integer number (3010428540).

Almost surely, 2130402100010 is an apocalyptic number.

130402100010 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 130402100010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192667426560).

130402100010 is an abundant number, since it is smaller than the sum of its proper divisors (254932753110).

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

130402100010 is a wasteful number, since it uses less digits than its factorization.

130402100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18272.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 130402100010 its reverse (10001204031), we get a palindrome (140403304041).

The spelling of 130402100010 in words is "one hundred thirty billion, four hundred two million, one hundred thousand, 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 3169 6338 9507 15073 15845 19014 22183 30146 31690 41197 44366 45219 47535 66549 75365 82394 90438 95070 105511 110915 123591 133098 150730 195949 205985 211022 221830 226095 247182 288379 316533 332745 391898 411970 452190 527555 576758 587847 617955 633066 665490 865137 979745 1055110 1175694 1235910 1371643 1441895 1582665 1730274 1959490 2743286 2883790 2939235 3165330 4114929 4325685 5878470 6858215 8229858 8651370 13716430 20574645 41149290 47766337 95532674 143299011 238831685 286598022 334364359 477663370 620962381 668728718 716495055 1003093077 1241924762 1432990110 1671821795 1862887143 2006186154 3104811905 3343643590 3725774286 4346736667 5015465385 6209623810 8693473334 9314435715 10030930770 13040210001 18628871430 21733683335 26080420002 43467366670 65201050005 130402100010