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122022020000100 = 2235211199185810903
BaseRepresentation
bin11011101111101001110111…
…001010000010100101100100
3121000001012011101010210100210
4123233221313022002211210
5111443202044110000400
61111304050410535420
734462541256460233
oct3357516712024544
9530035141123323
10122022020000100
1135975280200a90
1211828827737570
13531181c9c64ac
14221bc7c1c8b1a
15e191158b2950
hex6efa77282964

122022020000100 has 144 divisors (see below), whose sum is σ = 387081275212800. Its totient is φ = 29432446876800.

The previous prime is 122022020000057. The next prime is 122022020000123. The reversal of 122022020000100 is 1000020220221.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 92248752 + ... + 93562151.

It is an arithmetic number, because the mean of its divisors is an integer number (2688064411200).

Almost surely, 2122022020000100 is an apocalyptic number.

122022020000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122022020000100 is an abundant number, since it is smaller than the sum of its proper divisors (265059255212700).

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

122022020000100 is a wasteful number, since it uses less digits than its factorization.

122022020000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185811130 (or 185811123 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 122022020000100 its reverse (1000020220221), we get a palindrome (123022040220321).

The spelling of 122022020000100 in words is "one hundred twenty-two trillion, twenty-two billion, twenty million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 199 220 275 300 330 398 550 597 660 796 825 995 1100 1194 1650 1990 2189 2388 2985 3300 3980 4378 4975 5970 6567 8756 9950 10945 11940 13134 14925 19900 21890 26268 29850 32835 43780 54725 59700 65670 109450 131340 164175 218900 328350 656700 185810903 371621806 557432709 743243612 929054515 1114865418 1858109030 2043919933 2229730836 2787163545 3716218060 4087839866 4645272575 5574327090 6131759799 8175679732 9290545150 10219599665 11148654180 12263519598 13935817725 18581090300 20439199330 24527039196 27871635450 30658798995 36976369697 40878398660 51097998325 55743270900 61317597990 73952739394 102195996650 110929109091 122635195980 147905478788 153293994975 184881848485 204391993300 221858218182 306587989950 369763696970 406740066667 443716436364 554645545455 613175979900 739527393940 813480133334 924409242425 1109291090910 1220220200001 1626960266668 1848818484850 2033700333335 2218582181820 2440440400002 2773227727275 3697636969700 4067400666670 4880880800004 5546455454550 6101101000005 8134801333340 10168501666675 11092910909100 12202202000010 20337003333350 24404404000020 30505505000025 40674006666700 61011010000050 122022020000100