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103113023220 = 22335533602831
BaseRepresentation
bin110000000001000000…
…0111101111011110100
3100212011010100022022000
41200002000331323310
53142133413220340
6115211445535300
710310144143644
oct1400200757364
9325133308260
10103113023220
113a803682569
1217b98414530
13995374740c
144dc2688524
152a376a6d30
hex180203def4

103113023220 has 96 divisors (see below), whose sum is σ = 326848919040. Its totient is φ = 26977991040.

The previous prime is 103113023207. The next prime is 103113023243. The reversal of 103113023220 is 22320311301.

103113023220 is a `hidden beast` number, since 1 + 0 + 311 + 30 + 2 + 322 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 103113023193 and 103113023202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1772796 + ... + 1830035.

It is an arithmetic number, because the mean of its divisors is an integer number (3404676240).

Almost surely, 2103113023220 is an apocalyptic number.

103113023220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103113023220 is an abundant number, since it is smaller than the sum of its proper divisors (223735895820).

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

103113023220 is a wasteful number, since it uses less digits than its factorization.

103113023220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3602902 (or 3602894 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103113023220 its reverse (22320311301), we get a palindrome (125433334521).

The spelling of 103113023220 in words is "one hundred three billion, one hundred thirteen million, twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 53 54 60 90 106 108 135 159 180 212 265 270 318 477 530 540 636 795 954 1060 1431 1590 1908 2385 2862 3180 4770 5724 7155 9540 14310 28620 3602831 7205662 10808493 14411324 18014155 21616986 32425479 36028310 43233972 54042465 64850958 72056620 97276437 108084930 129701916 162127395 190950043 194552874 216169860 324254790 381900086 389105748 486382185 572850129 648509580 763800172 954750215 972764370 1145700258 1718550387 1909500430 1945528740 2291400516 2864250645 3437100774 3819000860 5155651161 5728501290 6874201548 8592751935 10311302322 11457002580 17185503870 20622604644 25778255805 34371007740 51556511610 103113023220