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103013200240 = 24579139149787
BaseRepresentation
bin101111111110000010…
…0001011000101110000
3100211220011111202220121
41133330010023011300
53141432334401430
6115153522220024
710304522516566
oct1377404130560
9324804452817
10103013200240
113a7622a2035
1217b6aab4614
139938b66372
144db3301a36
152a2da39a7a
hex17fc10b170

103013200240 has 160 divisors (see below), whose sum is σ = 246234240000. Its totient is φ = 40068946944.

The previous prime is 103013200237. The next prime is 103013200249. The reversal of 103013200240 is 42002310301.

It is a happy number.

It is a super-2 number, since 2×1030132002402 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103013200249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130893127 + ... + 130893913.

It is an arithmetic number, because the mean of its divisors is an integer number (1538964000).

Almost surely, 2103013200240 is an apocalyptic number.

103013200240 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 103013200240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123117120000).

103013200240 is an abundant number, since it is smaller than the sum of its proper divisors (143221039760).

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

103013200240 is a wasteful number, since it uses less digits than its factorization.

103013200240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 103013200240 its reverse (42002310301), we get a palindrome (145015510541).

The spelling of 103013200240 in words is "one hundred three billion, thirteen million, two hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 139 149 158 278 298 316 395 556 596 632 695 745 787 790 1112 1192 1264 1390 1490 1574 1580 2224 2384 2780 2980 3148 3160 3935 5560 5960 6296 6320 7870 10981 11120 11771 11920 12592 15740 20711 21962 23542 31480 41422 43924 47084 54905 58855 62173 62960 82844 87848 94168 103555 109393 109810 117263 117710 124346 165688 175696 188336 207110 218786 219620 234526 235420 248692 310865 331376 414220 437572 439240 469052 470840 497384 546965 586315 621730 828440 875144 878480 938104 941680 994768 1093930 1172630 1243460 1636169 1656880 1750288 1876208 2187860 2345260 2486920 3272338 4375720 4690520 4973840 6544676 8180845 8642047 8751440 9263777 9381040 13089352 16299557 16361690 17284094 18527554 26178704 32599114 32723380 34568188 37055108 43210235 46318885 65198228 65446760 69136376 74110216 81497785 86420470 92637770 130396456 130893520 138272752 148220432 162995570 172840940 185275540 260792912 325991140 345681880 370551080 651982280 691363760 741102160 1287665003 1303964560 2575330006 5150660012 6438325015 10301320024 12876650030 20602640048 25753300060 51506600120 103013200240