Search a number
-
+
10402142120130 = 2351697204324143
BaseRepresentation
bin1001011101011110111111…
…1111000110100011000010
31100211102202011120121012210
42113113233333012203002
52330412041340321010
634042402250202550
72122346531100435
oct227275777064302
940742664517183
1010402142120130
113350584052a32
121200008423456
135a5bc1511267
1427d6759c381c
151308b4923b20
hex975effc68c2

10402142120130 has 32 divisors (see below), whose sum is σ = 24979852548864. Its totient is φ = 2772269958656.

The previous prime is 10402142120101. The next prime is 10402142120131. The reversal of 10402142120130 is 3102124120401.

It is a junction number, because it is equal to n+sod(n) for n = 10402142120097 and 10402142120106.

It is not an unprimeable number, because it can be changed into a prime (10402142120131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102111162 + ... + 102212981.

It is an arithmetic number, because the mean of its divisors is an integer number (780620392152).

Almost surely, 210402142120130 is an apocalyptic number.

10402142120130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10402142120130 is an abundant number, since it is smaller than the sum of its proper divisors (14577710428734).

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

10402142120130 is a wasteful number, since it uses less digits than its factorization.

10402142120130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204325850.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10402142120130 its reverse (3102124120401), we get a palindrome (13504266240531).

The spelling of 10402142120130 in words is "ten trillion, four hundred two billion, one hundred forty-two million, one hundred twenty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 1697 3394 5091 8485 10182 16970 25455 50910 204324143 408648286 612972429 1021620715 1225944858 2043241430 3064862145 6129724290 346738070671 693476141342 1040214212013 1733690353355 2080428424026 3467380706710 5201071060065 10402142120130