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101032022120 = 23513969126297
BaseRepresentation
bin101111000010111111…
…0100101000001101000
3100122210002120111110012
41132011332211001220
53123403144201440
6114225150511052
710204445006231
oct1360576450150
9318702514405
10101032022120
1139935a40647
12176b7505488
1396b157c113
144c66146088
152964b43e65
hex1785fa5068

101032022120 has 64 divisors (see below), whose sum is σ = 229297521600. Its totient is φ = 40062481920.

The previous prime is 101032022059. The next prime is 101032022153. The reversal of 101032022120 is 21220230101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101032022095 and 101032022104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3828812 + ... + 3855108.

It is an arithmetic number, because the mean of its divisors is an integer number (3582773775).

Almost surely, 2101032022120 is an apocalyptic number.

101032022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101032022120 is an abundant number, since it is smaller than the sum of its proper divisors (128265499480).

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

101032022120 is a wasteful number, since it uses less digits than its factorization.

101032022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27138 (or 27134 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 101032022120 its reverse (21220230101), we get a palindrome (122252252221).

The spelling of 101032022120 in words is "one hundred one billion, thirty-two million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 139 278 556 691 695 1112 1382 1390 2764 2780 3455 5528 5560 6910 13820 26297 27640 52594 96049 105188 131485 192098 210376 262970 384196 480245 525940 768392 960490 1051880 1920980 3655283 3841960 7310566 14621132 18171227 18276415 29242264 36342454 36552830 72684908 73105660 90856135 145369816 146211320 181712270 363424540 726849080 2525800553 5051601106 10103202212 12629002765 20206404424 25258005530 50516011060 101032022120