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103311212320 = 25523267710487
BaseRepresentation
bin110000000110111010…
…0111111111100100000
3100212122221021100122001
41200031310333330200
53143040132243240
6115243245453344
710315101546511
oct1401564777440
9325587240561
10103311212320
113a8a5538a08
1218032871254
139985819384
145000b18a08
152a49ca489a
hex180dd3ff20

103311212320 has 96 divisors (see below), whose sum is σ = 254804030208. Its totient is φ = 39509234688.

The previous prime is 103311212311. The next prime is 103311212327. The reversal of 103311212320 is 23212113301.

It is not an unprimeable number, because it can be changed into a prime (103311212327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9846117 + ... + 9856603.

It is an arithmetic number, because the mean of its divisors is an integer number (2654208648).

Almost surely, 2103311212320 is an apocalyptic number.

103311212320 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 103311212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127402015104).

103311212320 is an abundant number, since it is smaller than the sum of its proper divisors (151492817888).

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

103311212320 is a wasteful number, since it uses less digits than its factorization.

103311212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13202 (or 13194 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 103311212320 its reverse (23212113301), we get a palindrome (126523325621).

The spelling of 103311212320 in words is "one hundred three billion, three hundred eleven million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 736 920 1840 2677 3680 5354 10487 10708 13385 20974 21416 26770 41948 42832 52435 53540 61571 83896 85664 104870 107080 123142 167792 209740 214160 241201 246284 307855 335584 419480 428320 482402 492568 615710 838960 964804 985136 1206005 1231420 1677920 1929608 1970272 2412010 2462840 3859216 4824020 4925680 7718432 9648040 9851360 19296080 28073699 38592160 56147398 112294796 140368495 224589592 280736990 449179184 561473980 645695077 898358368 1122947960 1291390154 2245895920 2582780308 3228475385 4491791840 5165560616 6456950770 10331121232 12913901540 20662242464 25827803080 51655606160 103311212320