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100101011332 = 227231496591583
BaseRepresentation
bin101110100111001111…
…1000011011110000100
3100120101012201020202011
41131032133003132010
53120001324330312
6113552532024004
710142411362120
oct1351637033604
9316335636664
10100101011332
11394a8458443
1217497762004
13959371866a
144bb8636580
15290d03dda7
hex174e7c3784

100101011332 has 96 divisors (see below), whose sum is σ = 210760704000. Its totient is φ = 40672232832.

The previous prime is 100101011291. The next prime is 100101011383. The reversal of 100101011332 is 233110101001.

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, 63234213 + ... + 63235795.

It is an arithmetic number, because the mean of its divisors is an integer number (2195424000).

Almost surely, 2100101011332 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 100101011332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105380352000).

100101011332 is an abundant number, since it is smaller than the sum of its proper divisors (110659692668).

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

100101011332 is a wasteful number, since it uses less digits than its factorization.

100101011332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2425 (or 2423 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 100101011332 its reverse (233110101001), we get a palindrome (333211112333).

The spelling of 100101011332 in words is "one hundred billion, one hundred one million, eleven thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 23 28 46 92 149 161 298 322 596 644 659 1043 1318 1583 2086 2636 3166 3427 4172 4613 6332 6854 9226 11081 13708 15157 18452 22162 23989 30314 36409 44324 47978 60628 72818 95956 98191 106099 145636 196382 212198 235867 254863 392764 424396 471734 509726 687337 943468 1019452 1043197 1374674 1651069 2086394 2258393 2749348 3302138 4172788 4516786 5424941 6604276 7302379 9033572 10849882 14604758 15808751 21699764 23993531 29209516 31617502 37974587 47987062 63235004 75949174 95974124 151898348 155436353 167954717 310872706 335909434 621745412 671818868 1088054471 2176108942 3575036119 4352217884 7150072238 14300144476 25025252833 50050505666 100101011332