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103011010320 = 24353711600339
BaseRepresentation
bin101111111101111101…
…1110100011100010000
3100211220000101111220110
41133323323310130100
53141431304312240
6115153403241320
710304465066151
oct1377373643420
9324800344813
10103011010320
113a761036789
1217b6a219240
13993857a65a
144db2cd1928
152a2d755c80
hex17fbef4710

103011010320 has 80 divisors (see below), whose sum is σ = 327964812480. Its totient is φ = 26727178752.

The previous prime is 103011010309. The next prime is 103011010339. The reversal of 103011010320 is 23010110301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1030110103202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 103011010296 and 103011010305.

It is an unprimeable number.

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, 5791290 + ... + 5809049.

It is an arithmetic number, because the mean of its divisors is an integer number (4099560156).

Almost surely, 2103011010320 is an apocalyptic number.

103011010320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103011010320 is an abundant number, since it is smaller than the sum of its proper divisors (224953802160).

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

103011010320 is a wasteful number, since it uses less digits than its factorization.

103011010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11600392 (or 11600386 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 103011010320 its reverse (23010110301), we get a palindrome (126021120621).

The spelling of 103011010320 in words is "one hundred three billion, eleven million, ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2960 4440 8880 11600339 23200678 34801017 46401356 58001695 69602034 92802712 116003390 139204068 174005085 185605424 232006780 278408136 348010170 429212543 464013560 556816272 696020340 858425086 928027120 1287637629 1392040680 1716850172 2146062715 2575275258 2784081360 3433700344 4292125430 5150550516 6438188145 6867400688 8584250860 10301101032 12876376290 17168501720 20602202064 25752752580 34337003440 51505505160 103011010320