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10020000122000 = 2453111014509451
BaseRepresentation
bin1001000111001111011010…
…0011000100010010010000
31022110220101000222201102122
42101303312203010102100
52303131430012401000
633151042521033412
72052630641520011
oct221636643042220
938426330881378
1010020000122000
113213504936770
121159b39925868
13578b6087683b
14268d83447008
1512599abd5085
hex91cf68c4490

10020000122000 has 160 divisors (see below), whose sum is σ = 26692636883328. Its totient is φ = 3607560000000.

The previous prime is 10020000121981. The next prime is 10020000122047. The reversal of 10020000122000 is 22100002001.

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 32726 + ... + 4476725.

Almost surely, 210020000122000 is an apocalyptic number.

10020000122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10020000122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13346318441664).

10020000122000 is an abundant number, since it is smaller than the sum of its proper divisors (16672636761328).

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

10020000122000 is a wasteful number, since it uses less digits than its factorization.

10020000122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4509586 (or 4509570 counting only the distinct ones).

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

Adding to 10020000122000 its reverse (22100002001), we get a palindrome (10042100124001).

It can be divided in two parts, 100200001 and 22000, that added together give a palindrome (100222001).

The spelling of 10020000122000 in words is "ten trillion, twenty billion, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 101 110 125 176 200 202 220 250 275 400 404 440 500 505 550 808 880 1000 1010 1100 1111 1375 1616 2000 2020 2200 2222 2525 2750 4040 4400 4444 5050 5500 5555 8080 8888 10100 11000 11110 12625 17776 20200 22000 22220 25250 27775 40400 44440 50500 55550 88880 101000 111100 138875 202000 222200 277750 444400 555500 1111000 2222000 4509451 9018902 18037804 22547255 36075608 45094510 49603961 72151216 90189020 99207922 112736275 180378040 198415844 225472550 248019805 360756080 396831688 450945100 455454551 496039610 563681375 793663376 901890200 910909102 992079220 1127362750 1240099025 1803780400 1821818204 1984158440 2254725500 2277272755 2480198050 3643636408 3968316880 4509451000 4554545510 4960396100 5010000061 6200495125 7287272816 9018902000 9109091020 9920792200 10020000122 11386363775 12400990250 18218182040 19841584400 20040000244 22772727550 24801980500 25050000305 36436364080 40080000488 45545455100 49603961000 50100000610 56931818875 80160000976 91090910200 99207922000 100200001220 113863637750 125250001525 182181820400 200400002440 227727275500 250500003050 400800004880 455454551000 501000006100 626250007625 910909102000 1002000012200 1252500015250 2004000024400 2505000030500 5010000061000 10020000122000