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103021011100 = 22527359340961
BaseRepresentation
bin101111111110010000…
…1111110000010011100
3100211220201012121101201
41133330201332002130
53141441334323400
6115154401445244
710304646101020
oct1377441760234
9324821177351
10103021011100
113a766747497
1217b71640824
13993a66c687
144db4376380
152a2e57e06a
hex17fc87e09c

103021011100 has 72 divisors (see below), whose sum is σ = 255569455008. Its totient is φ = 35310796800.

The previous prime is 103021011089. The next prime is 103021011103. The reversal of 103021011100 is 1110120301.

It is a super-2 number, since 2×1030210111002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103021011103) 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, 2494620 + ... + 2535580.

It is an arithmetic number, because the mean of its divisors is an integer number (3549575764).

Almost surely, 2103021011100 is an apocalyptic number.

103021011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103021011100 is an abundant number, since it is smaller than the sum of its proper divisors (152548443908).

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

103021011100 is a wasteful number, since it uses less digits than its factorization.

103021011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44575 (or 44568 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 103021011100 its reverse (1110120301), we get a palindrome (104131131401).

The spelling of 103021011100 in words is "one hundred three billion, twenty-one million, eleven thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 3593 7186 14372 17965 25151 35930 40961 50302 71860 81922 89825 100604 125755 163844 179650 204805 251510 286727 359300 409610 503020 573454 628775 819220 1024025 1146908 1257550 1433635 2048050 2515100 2867270 4096100 5734540 7168175 14336350 28672700 147172873 294345746 588691492 735864365 1030210111 1471728730 2060420222 2943457460 3679321825 4120840444 5151050555 7358643650 10302101110 14717287300 20604202220 25755252775 51510505550 103021011100