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100403013040 = 245114710922271
BaseRepresentation
bin101110110000001111…
…1000110010110110000
3100121011020222112012121
41131200133012112300
53121111132404130
6114042521004024
710153036346431
oct1354037062660
9317136875177
10100403013040
1139642979830
1217560923614
1396111675b5
144c067ab488
1529297e5d7a
hex17607c65b0

100403013040 has 160 divisors (see below), whose sum is σ = 262474629120. Its totient is φ = 35403955200.

The previous prime is 100403013037. The next prime is 100403013043. The reversal of 100403013040 is 40310304001.

It is an interprime number because it is at equal distance from previous prime (100403013037) and next prime (100403013043).

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

It is not an unprimeable number, because it can be changed into a prime (100403013043) 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, 4497105 + ... + 4519375.

It is an arithmetic number, because the mean of its divisors is an integer number (1640466432).

Almost surely, 2100403013040 is an apocalyptic number.

100403013040 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 100403013040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131237314560).

100403013040 is an abundant number, since it is smaller than the sum of its proper divisors (162071616080).

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

100403013040 is a wasteful number, since it uses less digits than its factorization.

100403013040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22451 (or 22445 counting only the distinct ones).

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

Adding to 100403013040 its reverse (40310304001), we get a palindrome (140713317041).

The spelling of 100403013040 in words is "one hundred billion, four hundred three million, thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 47 55 80 88 94 109 110 176 188 218 220 235 376 436 440 470 517 545 752 872 880 940 1034 1090 1199 1744 1880 2068 2180 2398 2585 3760 4136 4360 4796 5123 5170 5995 8272 8720 9592 10246 10340 11990 19184 20492 20680 22271 23980 25615 40984 41360 44542 47960 51230 56353 81968 89084 95920 102460 111355 112706 178168 204920 222710 225412 244981 281765 356336 409840 445420 450824 489962 563530 890840 901648 979924 1046737 1127060 1224905 1781680 1959848 2093474 2254120 2427539 2449810 3919696 4186948 4508240 4855078 4899620 5233685 8373896 9710156 9799240 10467370 11514107 12137695 16747792 19420312 19598480 20934740 23028214 24275390 26702929 38840624 41869480 46056428 48550780 53405858 57570535 83738960 92112856 97101560 106811716 114094333 115141070 133514645 184225712 194203120 213623432 228188666 230282140 267029290 427246864 456377332 460564280 534058580 570471665 912754664 921128560 1068117160 1140943330 1255037663 1825509328 2136234320 2281886660 2510075326 4563773320 5020150652 6275188315 9127546640 10040301304 12550376630 20080602608 25100753260 50201506520 100403013040