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10002420103 = 1331434712281
BaseRepresentation
bin10010101000011000…
…01101000110000111
3221211002022120212211
421110030031012013
5130441104420403
64332310324251
7502604111434
oct112414150607
927732276784
1010002420103
1142731182a5
121b31959687
13c35356ba0
146ac5d2b8b
153d81da06d
hex25430d187

10002420103 has 32 divisors (see below), whose sum is σ = 11620933632. Its totient is φ = 8540985600.

The previous prime is 10002420083. The next prime is 10002420107. The reversal of 10002420103 is 30102420001.

It is a cyclic number.

It is not a de Polignac number, because 10002420103 - 221 = 10000322951 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002420107) 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, 808323 + ... + 820603.

It is an arithmetic number, because the mean of its divisors is an integer number (363154176).

Almost surely, 210002420103 is an apocalyptic number.

10002420103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10002420103 is a deficient number, since it is larger than the sum of its proper divisors (1618513529).

10002420103 is a wasteful number, since it uses less digits than its factorization.

10002420103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12415.

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 10002420103 its reverse (30102420001), we get a palindrome (40104840104).

The spelling of 10002420103 in words is "ten billion, two million, four hundred twenty thousand, one hundred three".

Divisors: 1 13 31 43 47 403 559 611 1333 1457 2021 12281 17329 18941 26273 62651 159653 380711 528083 577207 814463 4949243 6865079 7503691 16370573 17893417 24819901 212817449 232614421 322658713 769416931 10002420103