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103023211100 = 22526134634877
BaseRepresentation
bin101111111110010101…
…0010111001001011100
3100211220212100101020012
41133330222113021130
53141442420223400
6115154520542352
710305003563015
oct1377452271134
9324825311205
10103023211100
113a767a0a377
1217b723219b8
13993ac5cb54
144db478a00c
152a2e865d35
hex17fca9725c

103023211100 has 72 divisors (see below), whose sum is σ = 227337511968. Its totient is φ = 40513708800.

The previous prime is 103023211091. The next prime is 103023211163. The reversal of 103023211100 is 1112320301.

It is a super-2 number, since 2×1030232111002 (a number of 23 digits) contains 22 as substring.

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, 21121862 + ... + 21126738.

It is an arithmetic number, because the mean of its divisors is an integer number (3157465444).

Almost surely, 2103023211100 is an apocalyptic number.

103023211100 is a gapful number since it is divisible by the number (10) 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 103023211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113668755984).

103023211100 is an abundant number, since it is smaller than the sum of its proper divisors (124314300868).

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

103023211100 is a wasteful number, since it uses less digits than its factorization.

103023211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8415 (or 8408 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 103023211100 its reverse (1112320301), we get a palindrome (104135531401).

The spelling of 103023211100 in words is "one hundred three billion, twenty-three million, two hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 1220 1525 3050 3463 4877 6100 6926 9754 13852 17315 19508 24385 34630 48770 69260 86575 97540 121925 173150 211243 243850 297497 346300 422486 487700 594994 844972 1056215 1189988 1487485 2112430 2974970 4224860 5281075 5949940 7437425 10562150 14874850 16889051 21124300 29749700 33778102 67556204 84445255 168890510 337781020 422226275 844452550 1030232111 1688905100 2060464222 4120928444 5151160555 10302321110 20604642220 25755802775 51511605550 103023211100