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103011100120 = 23534714994951
BaseRepresentation
bin101111111101111110…
…0001010010111011000
3100211220000120002002101
41133323330022113120
53141431320200440
6115153405213144
710304465622025
oct1377374122730
9324800502071
10103011100120
113a7610981a5
1217b6a2611b4
1399385ac4a6
144db2d1654c
152a2d77269a
hex17fbf0a5d8

103011100120 has 64 divisors (see below), whose sum is σ = 232644960000. Its totient is φ = 41049993600.

The previous prime is 103011100111. The next prime is 103011100121. The reversal of 103011100120 is 21001110301.

It is a super-2 number, since 2×1030111001202 (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 junction number, because it is equal to n+sod(n) for n = 103011100097 and 103011100106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103011100121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20803645 + ... + 20808595.

It is an arithmetic number, because the mean of its divisors is an integer number (3635077500).

Almost surely, 2103011100120 is an apocalyptic number.

103011100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103011100120 is an abundant number, since it is smaller than the sum of its proper divisors (129633859880).

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

103011100120 is a wasteful number, since it uses less digits than its factorization.

103011100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6808 (or 6804 counting only the distinct ones).

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

Adding to 103011100120 its reverse (21001110301), we get a palindrome (124012210421).

The spelling of 103011100120 in words is "one hundred three billion, eleven million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 347 694 1388 1499 1735 2776 2998 3470 4951 5996 6940 7495 9902 11992 13880 14990 19804 24755 29980 39608 49510 59960 99020 198040 520153 1040306 1717997 2080612 2600765 3435994 4161224 5201530 6871988 7421549 8589985 10403060 13743976 14843098 17179970 20806120 29686196 34359940 37107745 59372392 68719880 74215490 148430980 296861960 2575277503 5150555006 10301110012 12876387515 20602220024 25752775030 51505550060 103011100120