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103331101120 = 2651324839207
BaseRepresentation
bin110000000111100000…
…0110111100111000000
3100212201022200210221021
41200033000313213000
53143110230213440
6115245240035224
710315432603402
oct1401700674700
9325638623837
10103331101120
113a905792735
1218039462b14
139989990cb0
145003614b72
152a4b8d284a
hex180f0379c0

103331101120 has 56 divisors (see below), whose sum is σ = 264984670944. Its totient is φ = 38153020416.

The previous prime is 103331101117. The next prime is 103331101129. The reversal of 103331101120 is 21101133301.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 103331101094 and 103331101103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103331101129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12415444 + ... + 12423763.

It is an arithmetic number, because the mean of its divisors is an integer number (4731869124).

Almost surely, 2103331101120 is an apocalyptic number.

103331101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103331101120 is an abundant number, since it is smaller than the sum of its proper divisors (161653569824).

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

103331101120 is a wasteful number, since it uses less digits than its factorization.

103331101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24839237 (or 24839227 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 103331101120 its reverse (21101133301), we get a palindrome (124432234421).

The spelling of 103331101120 in words is "one hundred three billion, three hundred thirty-one million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 24839207 49678414 99356828 124196035 198713656 248392070 322909691 397427312 496784140 645819382 794854624 993568280 1291638764 1589709248 1614548455 1987136560 2583277528 3229096910 3974273120 5166555056 6458193820 7948546240 10333110112 12916387640 20666220224 25832775280 51665550560 103331101120