Search a number
-
+
102132023334224 = 2413101127109335023
BaseRepresentation
bin10111001110001101110110…
…111110001001010101010000
3111101121201121022100122122012
4113032031312332021111100
5101341312340433143344
61001114445342002052
730340536514363262
oct2716156676112520
9441551538318565
10102132023334224
112a5a6a47661034
12b555a53b76328
1344cb015809110
141b3130577bb32
15bc1a4d08229e
hex5ce376f89550

102132023334224 has 160 divisors (see below), whose sum is σ = 217111554637824. Its totient is φ = 46259971430400.

The previous prime is 102132023334193. The next prime is 102132023334247. The reversal of 102132023334224 is 422433320231201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2916123977 + ... + 2916158999.

Almost surely, 2102132023334224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102132023334224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108555777318912).

102132023334224 is an abundant number, since it is smaller than the sum of its proper divisors (114979531303600).

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

102132023334224 is a wasteful number, since it uses less digits than its factorization.

102132023334224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36365 (or 36359 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 102132023334224 its reverse (422433320231201), we get a palindrome (524565343565425).

The spelling of 102132023334224 in words is "one hundred two trillion, one hundred thirty-two billion, twenty-three million, three hundred thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 52 101 104 127 202 208 254 404 508 808 1016 1093 1313 1616 1651 2032 2186 2626 3302 4372 5252 6604 8744 10504 12827 13208 14209 17488 21008 25654 26416 28418 35023 51308 56836 70046 102616 110393 113672 138811 140092 166751 205232 220786 227344 277622 280184 333502 441572 455299 555244 560368 667004 883144 910598 1110488 1334008 1435109 1766288 1804543 1821196 2220976 2668016 2870218 3537323 3609086 3642392 4447921 5740436 7074646 7218172 7284784 8895842 11480872 14019911 14149292 14436344 17791684 22961744 28039822 28298584 28872688 35583368 38280139 45985199 56079644 56597168 57822973 71166736 76560278 91970398 112159288 115645946 153120556 182258843 183940796 224318576 231291892 306241112 364517686 367881592 449240021 462583784 497641807 612482224 729035372 735763184 898480042 925167568 995283614 1458070744 1796960084 1990567228 2916141488 3593920168 3866294039 3981134456 4861577653 5840120273 7187840336 7732588078 7962268912 9723155306 11680240546 15465176156 19446310612 23360481092 30930352312 38892621224 46720962184 50261822507 61860704624 63200509489 77785242448 93441924368 100523645014 126401018978 201047290028 252802037956 402094580056 491019342953 505604075912 804189160112 982038685906 1011208151824 1964077371812 3928154743624 6383251458389 7856309487248 12766502916778 25533005833556 51066011667112 102132023334224