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10001221020 = 22325741193597
BaseRepresentation
bin10010101000001111…
…01000010110011100
3221211000001200001100
421110013220112130
5130440303033040
64332224513100
7502560655530
oct112407502634
927730050040
1010001221020
11427247941a
121b3147b790
13c3502717b
146ac39dbc0
153d804eb30
hex2541e859c

10001221020 has 144 divisors (see below), whose sum is σ = 35516714688. Its totient is φ = 2230225920.

The previous prime is 10001221019. The next prime is 10001221081. The reversal of 10001221020 is 2012210001.

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 = 10001220993 and 10001221011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45139 + ... + 148458.

It is an arithmetic number, because the mean of its divisors is an integer number (246643852).

Almost surely, 210001221020 is an apocalyptic number.

10001221020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001221020 is an abundant number, since it is smaller than the sum of its proper divisors (25515493668).

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

10001221020 is a wasteful number, since it uses less digits than its factorization.

10001221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193660 (or 193655 counting only the distinct ones).

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

Adding to 10001221020 its reverse (2012210001), we get a palindrome (12013431021).

The spelling of 10001221020 in words is "ten billion, one million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 41 42 45 60 63 70 82 84 90 105 123 126 140 164 180 205 210 246 252 287 315 369 410 420 492 574 615 630 738 820 861 1148 1230 1260 1435 1476 1722 1845 2460 2583 2870 3444 3690 4305 5166 5740 7380 8610 10332 12915 17220 25830 51660 193597 387194 580791 774388 967985 1161582 1355179 1742373 1935970 2323164 2710358 2903955 3484746 3871940 4065537 5420716 5807910 6775895 6969492 7937477 8131074 8711865 11615820 12196611 13551790 15874954 16262148 17423730 20327685 23812431 24393222 27103580 31749908 34847460 39687385 40655370 47624862 48786444 55562339 60983055 71437293 79374770 81310740 95249724 111124678 119062155 121966110 142874586 158749540 166687017 222249356 238124310 243932220 277811695 285749172 333374034 357186465 476248620 500061051 555623390 666748068 714372930 833435085 1000122102 1111246780 1428745860 1666870170 2000244204 2500305255 3333740340 5000610510 10001221020