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101021331096 = 23327316465779
BaseRepresentation
bin101111000010101010…
…1110010111010011000
3100122202100110100010100
41132011111302322120
53123342430043341
6114224125415400
710204255101120
oct1360525627230
9318670410110
10101021331096
113992a9a9294
12176b3a0a560
1396ac2a7b7a
144c64961c80
152963c313b6
hex1785572e98

101021331096 has 96 divisors (see below), whose sum is σ = 322771737600. Its totient is φ = 27932160960.

The previous prime is 101021331077. The next prime is 101021331107. The reversal of 101021331096 is 690133120101.

It is a super-2 number, since 2×1010213310962 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 3217266 + ... + 3248513.

It is an arithmetic number, because the mean of its divisors is an integer number (3362205600).

Almost surely, 2101021331096 is an apocalyptic number.

It is an amenable number.

101021331096 is an abundant number, since it is smaller than the sum of its proper divisors (221750406504).

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

101021331096 is a wasteful number, since it uses less digits than its factorization.

101021331096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6465829 (or 6465822 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

Adding to 101021331096 its reverse (690133120101), we get a palindrome (791154451197).

The spelling of 101021331096 in words is "one hundred one billion, twenty-one million, three hundred thirty-one thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 56 62 63 72 84 93 124 126 168 186 217 248 252 279 372 434 504 558 651 744 868 1116 1302 1736 1953 2232 2604 3906 5208 7812 15624 6465779 12931558 19397337 25863116 38794674 45260453 51726232 58192011 77589348 90520906 116384022 135781359 155178696 181041812 200439149 232768044 271562718 362083624 400878298 407344077 465536088 543125436 601317447 801756596 814688154 1086250872 1202634894 1403074043 1603513192 1629376308 1803952341 2405269788 2806148086 3258752616 3607904682 4209222129 4810539576 5612296172 7215809364 8418444258 11224592344 12627666387 14431618728 16836888516 25255332774 33673777032 50510665548 101021331096