Search a number
-
+
101131332240 = 24353115598719
BaseRepresentation
bin101111000101111100…
…1011010101010010000
3100200001000102222022210
41132023321122222100
53124104110112430
6114243055232120
710210062066141
oct1361371325220
9320030388283
10101131332240
1139987000824
1217724818640
1396c90108c3
144c753d7ac8
15296d70e2b0
hex178be5aa90

101131332240 has 160 divisors (see below), whose sum is σ = 323864985600. Its totient is φ = 26078676480.

The previous prime is 101131332233. The next prime is 101131332329. The reversal of 101131332240 is 42233131101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11594601 + ... + 11603319.

It is an arithmetic number, because the mean of its divisors is an integer number (2024156160).

Almost surely, 2101131332240 is an apocalyptic number.

101131332240 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 101131332240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161932492800).

101131332240 is an abundant number, since it is smaller than the sum of its proper divisors (222733653360).

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

101131332240 is a wasteful number, since it uses less digits than its factorization.

101131332240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10325 (or 10319 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 101131332240 its reverse (42233131101), we get a palindrome (143364463341).

The spelling of 101131332240 in words is "one hundred one billion, one hundred thirty-one million, three hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1559 1860 2480 3118 3720 4677 6236 7440 7795 8719 9354 12472 15590 17438 18708 23385 24944 26157 31180 34876 37416 43595 46770 48329 52314 62360 69752 74832 87190 93540 96658 104628 124720 130785 139504 144987 174380 187080 193316 209256 241645 261570 270289 289974 348760 374160 386632 418512 483290 523140 540578 579948 697520 724935 773264 810867 966580 1046280 1081156 1159896 1351445 1449870 1621734 1933160 2092560 2162312 2319792 2702890 2899740 3243468 3866320 4054335 4324624 5405780 5799480 6486936 8108670 10811560 11598960 12973872 13592921 16217340 21623120 27185842 32434680 40778763 54371684 64869360 67964605 81557526 108743368 135929210 163115052 203893815 217486736 271858420 326230104 407787630 421380551 543716840 652460208 815575260 842761102 1087433680 1264141653 1631150520 1685522204 2106902755 2528283306 3262301040 3371044408 4213805510 5056566612 6320708265 6742088816 8427611020 10113133224 12641416530 16855222040 20226266448 25282833060 33710444080 50565666120 101131332240