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103021102300 = 22528387714153
BaseRepresentation
bin101111111110010001…
…0010100010011011100
3100211220201101020111111
41133330202110103130
53141441400233200
6115154403431404
710304646630634
oct1377442242334
9324821336444
10103021102300
113a7667a9a66
1217b71685564
13993a6a203c
144db439b6c4
152a2e59b0ba
hex17fc8944dc

103021102300 has 72 divisors (see below), whose sum is σ = 226523220336. Its totient is φ = 40662658560.

The previous prime is 103021102291. The next prime is 103021102307. The reversal of 103021102300 is 3201120301.

It is a super-2 number, since 2×1030211023002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103021102307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7272024 + ... + 7286176.

It is an arithmetic number, because the mean of its divisors is an integer number (3146155838).

Almost surely, 2103021102300 is an apocalyptic number.

103021102300 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 103021102300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113261610168).

103021102300 is an abundant number, since it is smaller than the sum of its proper divisors (123502118036).

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

103021102300 is a wasteful number, since it uses less digits than its factorization.

103021102300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15127 (or 15120 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 103021102300 its reverse (3201120301), we get a palindrome (106222222601).

The spelling of 103021102300 in words is "one hundred three billion, twenty-one million, one hundred two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 83 100 166 332 415 830 877 1660 1754 2075 3508 4150 4385 8300 8770 14153 17540 21925 28306 43850 56612 70765 72791 87700 141530 145582 283060 291164 353825 363955 707650 727910 1174699 1415300 1455820 1819775 2349398 3639550 4698796 5873495 7279100 11746990 12412181 23493980 24824362 29367475 49648724 58734950 62060905 117469900 124121810 248243620 310304525 620609050 1030211023 1241218100 2060422046 4120844092 5151055115 10302110230 20604220460 25755275575 51510551150 103021102300