Search a number
-
+
10202311424040 = 23351719263217529
BaseRepresentation
bin1001010001110110100100…
…1001011111100000101000
31100010022221121212110000120
42110131221021133200220
52314123313211032130
633410513245003240
72102043534153021
oct224355111374050
940108847773016
1010202311424040
11328385990931a
121189339553520
135900c62bc618
14273b1a1b3c48
1512a5bb293910
hex9476925f828

10202311424040 has 128 divisors (see below), whose sum is σ = 34112991888000. Its totient is φ = 2425812738048.

The previous prime is 10202311424017. The next prime is 10202311424047. The reversal of 10202311424040 is 4042411320201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10202311424040.

It is not an unprimeable number, because it can be changed into a prime (10202311424047) 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, 131570005 + ... + 131647524.

It is an arithmetic number, because the mean of its divisors is an integer number (266507749125).

Almost surely, 210202311424040 is an apocalyptic number.

10202311424040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202311424040 is an abundant number, since it is smaller than the sum of its proper divisors (23910680463960).

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

10202311424040 is a wasteful number, since it uses less digits than its factorization.

10202311424040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263217579 (or 263217575 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10202311424040 its reverse (4042411320201), we get a palindrome (14244722744241).

The spelling of 10202311424040 in words is "ten trillion, two hundred two billion, three hundred eleven million, four hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 19 20 24 30 34 38 40 51 57 60 68 76 85 95 102 114 120 136 152 170 190 204 228 255 285 323 340 380 408 456 510 570 646 680 760 969 1020 1140 1292 1615 1938 2040 2280 2584 3230 3876 4845 6460 7752 9690 12920 19380 38760 263217529 526435058 789652587 1052870116 1316087645 1579305174 2105740232 2632175290 3158610348 3948262935 4474697993 5001133051 5264350580 6317220696 7896525870 8949395986 10002266102 10528701160 13424093979 15003399153 15793051740 17898791972 20004532204 22373489965 25005665255 26848187958 30006798306 31586103480 35797583944 40009064408 44746979930 50011330510 53696375916 60013596612 67120469895 75016995765 85019261867 89493959860 100022661020 107392751832 120027193224 134240939790 150033991530 170038523734 178987919720 200045322040 255057785601 268481879580 300067983060 340077047468 425096309335 510115571202 536963759160 600135966120 680154094936 850192618670 1020231142404 1275288928005 1700385237340 2040462284808 2550577856010 3400770474680 5101155712020 10202311424040