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101022100020 = 22345312011591
BaseRepresentation
bin101111000010101100…
…0101110101000110100
3100122202101220101220000
41132011120232220310
53123343124200040
6114224154111300
710204264452642
oct1360530565064
9318671811800
10101022100020
1139930383a66
12176b411b530
1396ac4b6b5a
144c64ac2192
152963d34130
hex178562ea34

101022100020 has 120 divisors (see below), whose sum is σ = 327133137408. Its totient is φ = 26070206400.

The previous prime is 101022099977. The next prime is 101022100021. The reversal of 101022100020 is 20001220101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101022099975 and 101022100011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101022100021) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 955576 + ... + 1056015.

Almost surely, 2101022100020 is an apocalyptic number.

101022100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022100020 is an abundant number, since it is smaller than the sum of its proper divisors (226111037388).

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

101022100020 is a wasteful number, since it uses less digits than its factorization.

101022100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2011643 (or 2011632 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 101022100020 its reverse (20001220101), we get a palindrome (121023320121).

The spelling of 101022100020 in words is "one hundred one billion, twenty-two million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 81 90 93 108 124 135 155 162 180 186 270 279 310 324 372 405 465 540 558 620 810 837 930 1116 1395 1620 1674 1860 2511 2790 3348 4185 5022 5580 8370 10044 12555 16740 25110 50220 2011591 4023182 6034773 8046364 10057955 12069546 18104319 20115910 24139092 30173865 36208638 40231820 54312957 60347730 62359321 72417276 90521595 108625914 120695460 124718642 162938871 181043190 187077963 217251828 249437284 271564785 311796605 325877742 362086380 374155926 543129570 561233889 623593210 651755484 748311852 814694355 935389815 1086259140 1122467778 1247186420 1629388710 1683701667 1870779630 2244935556 2806169445 3258777420 3367403334 3741559260 5051105001 5612338890 6734806668 8418508335 10102210002 11224677780 16837016670 20204420004 25255525005 33674033340 50511050010 101022100020