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10202413004 = 227379847889
BaseRepresentation
bin10011000000001110…
…00111011111001100
3222100000122021120022
421200013013133030
5131343304204004
64404213041312
7510553036220
oct114007073714
928300567508
1010202413004
114365aa5993
121b88926238
13c6790ab94
146cadb2780
153eaa422be
hex2601c77cc

10202413004 has 24 divisors (see below), whose sum is σ = 20956309920. Its totient is φ = 4254287616.

The previous prime is 10202413003. The next prime is 10202413009. The reversal of 10202413004 is 40031420201.

It is a super-4 number, since 4×102024130044 (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10202413003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4922909 + ... + 4924980.

It is an arithmetic number, because the mean of its divisors is an integer number (873179580).

Almost surely, 210202413004 is an apocalyptic number.

10202413004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10202413004 is an abundant number, since it is smaller than the sum of its proper divisors (10753896916).

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

10202413004 is a wasteful number, since it uses less digits than its factorization.

10202413004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9847937 (or 9847935 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 10202413004 its reverse (40031420201), we get a palindrome (50233833205).

The spelling of 10202413004 in words is "ten billion, two hundred two million, four hundred thirteen thousand, four".

Divisors: 1 2 4 7 14 28 37 74 148 259 518 1036 9847889 19695778 39391556 68935223 137870446 275740892 364371893 728743786 1457487572 2550603251 5101206502 10202413004