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2042113010 = 25729892127
BaseRepresentation
bin111100110111000…
…0010101111110010
312021022121002102012
41321232002233302
513140240104020
6534345322522
7101414450150
oct17156025762
95238532365
102042113010
119587a0803
1248ba96442
132671008c2
141552dc3d0
15be4307c5
hex79b82bf2

2042113010 has 96 divisors (see below), whose sum is σ = 4429762560. Its totient is φ = 663151104.

The previous prime is 2042113009. The next prime is 2042113057. The reversal of 2042113010 is 103112402.

It is a super-2 number, since 2×20421130102 = 8340451091222520200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16079567 + ... + 16079693.

It is an arithmetic number, because the mean of its divisors is an integer number (46143360).

Almost surely, 22042113010 is an apocalyptic number.

2042113010 is an abundant number, since it is smaller than the sum of its proper divisors (2387649550).

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

2042113010 is a wasteful number, since it uses less digits than its factorization.

2042113010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2042113010 is about 45189.7445224024. The cubic root of 2042113010 is about 1268.7028750970.

Adding to 2042113010 its reverse (103112402), we get a palindrome (2145225412).

The spelling of 2042113010 in words is "two billion, forty-two million, one hundred thirteen thousand, ten".

Divisors: 1 2 5 7 10 14 29 35 58 70 89 127 145 178 203 254 290 406 445 623 635 889 890 1015 1246 1270 1778 2030 2581 3115 3683 4445 5162 6230 7366 7921 8890 11303 12905 15842 18067 18415 22606 25781 25810 36134 36830 39605 51562 55447 56515 79121 79210 90335 110894 113030 128905 158242 180670 229709 257810 277235 327787 395605 459418 554470 655574 791210 1005967 1148545 1607963 1638935 2011934 2294509 2297090 3215926 3277870 4589018 5029835 7041769 8039815 10059670 11472545 14083538 16079630 22945090 29173043 35208845 58346086 70417690 145865215 204211301 291730430 408422602 1021056505 2042113010