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1020312002010 = 235719924415219
BaseRepresentation
bin11101101100011110101…
…01011001110111011010
310121112121022001001000210
432312033111121313122
5113204044333031020
62100420323111550
7133500165630540
oct16661725316732
93545538031023
101020312002010
11363791586714
121458b05125b6
13752a44b4142
1437551d47d90
151b819ab23e0
hexed8f559dda

1020312002010 has 64 divisors (see below), whose sum is σ = 2812633344000. Its totient is φ = 232042231872.

The previous prime is 1020312001991. The next prime is 1020312002011. The reversal of 1020312002010 is 102002130201.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1020312002011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12165820 + ... + 12249399.

It is an arithmetic number, because the mean of its divisors is an integer number (43947396000).

Almost surely, 21020312002010 is an apocalyptic number.

1020312002010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1020312002010 is an abundant number, since it is smaller than the sum of its proper divisors (1792321341990).

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

1020312002010 is a wasteful number, since it uses less digits than its factorization.

1020312002010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24415435.

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

Adding to 1020312002010 its reverse (102002130201), we get a palindrome (1122314132211).

The spelling of 1020312002010 in words is "one trillion, twenty billion, three hundred twelve million, two thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 199 210 398 597 995 1194 1393 1990 2786 2985 4179 5970 6965 8358 13930 20895 41790 24415219 48830438 73245657 122076095 146491314 170906533 244152190 341813066 366228285 512719599 732456570 854532665 1025439198 1709065330 2563597995 4858628581 5127195990 9717257162 14575885743 24293142905 29151771486 34010400067 48586285810 68020800134 72879428715 102031200201 145758857430 170052000335 204062400402 340104000670 510156001005 1020312002010