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101132122020 = 223517388111059
BaseRepresentation
bin101111000101111110…
…0011011011110100100
3100200001001221002200220
41132023330123132210
53124104310401040
6114243124204340
710210101565536
oct1361374333644
9320031832626
10101132122020
11399874a0136
1217724b396b0
1396c9229227
144c75561856
15296d8182d0
hex178bf1b7a4

101132122020 has 96 divisors (see below), whose sum is σ = 285155821440. Its totient is φ = 26779822080.

The previous prime is 101132121989. The next prime is 101132122031. The reversal of 101132122020 is 20221231101.

It is a super-2 number, since 2×1011321220202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 9139251 + ... + 9150309.

It is an arithmetic number, because the mean of its divisors is an integer number (2970373140).

Almost surely, 2101132122020 is an apocalyptic number.

101132122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101132122020 is an abundant number, since it is smaller than the sum of its proper divisors (184023699420).

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

101132122020 is a wasteful number, since it uses less digits than its factorization.

101132122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12125 (or 12123 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 101132122020 its reverse (20221231101), we get a palindrome (121353353121).

The spelling of 101132122020 in words is "one hundred one billion, one hundred thirty-two million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 173 346 519 692 865 881 1038 1730 1762 2076 2595 2643 3460 3524 4405 5190 5286 8810 10380 10572 11059 13215 17620 22118 26430 33177 44236 52860 55295 66354 110590 132708 152413 165885 221180 304826 331770 457239 609652 663540 762065 914478 1524130 1828956 1913207 2286195 3048260 3826414 4572390 5739621 7652828 9144780 9566035 9742979 11479242 19132070 19485958 22958484 28698105 29228937 38264140 38971916 48714895 57396210 58457874 97429790 114792420 116915748 146144685 194859580 292289370 584578740 1685535367 3371070734 5056606101 6742141468 8427676835 10113212202 16855353670 20226424404 25283030505 33710707340 50566061010 101132122020