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10314203004 = 2232745789561
BaseRepresentation
bin10011001101100011…
…00011111101111100
3222121210222210121200
421212301203331330
5132110413444004
64423245055500
7513411164460
oct114661437574
928553883550
1010314203004
11441310a416
121bba257590
13c84b1bc01
146dbb924a0
15405775239
hex266c63f7c

10314203004 has 72 divisors (see below), whose sum is σ = 29862120288. Its totient is φ = 2940433920.

The previous prime is 10314202999. The next prime is 10314203023. The reversal of 10314203004 is 40030241301.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70384 + ... + 159944.

Almost surely, 210314203004 is an apocalyptic number.

10314203004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10314203004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14931060144).

10314203004 is an abundant number, since it is smaller than the sum of its proper divisors (19547917284).

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

10314203004 is a wasteful number, since it uses less digits than its factorization.

10314203004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90035 (or 90030 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10314203004 its reverse (40030241301), we get a palindrome (50344444305).

The spelling of 10314203004 in words is "ten billion, three hundred fourteen million, two hundred three thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 457 914 1371 1828 2742 3199 4113 5484 6398 8226 9597 12796 16452 19194 28791 38388 57582 89561 115164 179122 268683 358244 537366 626927 806049 1074732 1253854 1612098 1880781 2507708 3224196 3761562 5642343 7523124 11284686 22569372 40929377 81858754 122788131 163717508 245576262 286505639 368364393 491152524 573011278 736728786 859516917 1146022556 1473457572 1719033834 2578550751 3438067668 5157101502 10314203004