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221002020122100 = 223527331317942771
BaseRepresentation
bin110010010000000000001010…
…111001110110110111110100
31001222111120211202201211021020
4302100000022321312313310
5212431344114122401400
62102010532040221140
764356604040005320
oct6220001271666764
91058446752654236
10221002020122100
1164466480936978
122095380946a7b0
13964152a20c669
143c807aa700980
151a83b82bc62a0
hexc9000ae76df4

221002020122100 has 144 divisors (see below), whose sum is σ = 732987810110976. Its totient is φ = 50362134768000.

The previous prime is 221002020122089. The next prime is 221002020122111. The reversal of 221002020122100 is 1221020200122.

It is an interprime number because it is at equal distance from previous prime (221002020122089) and next prime (221002020122111).

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

It is a self number, because there is not a number n which added to its sum of digits gives 221002020122100.

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, 158276286 + ... + 159666485.

Almost surely, 2221002020122100 is an apocalyptic number.

221002020122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221002020122100 is an abundant number, since it is smaller than the sum of its proper divisors (511985789988876).

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

221002020122100 is a wasteful number, since it uses less digits than its factorization.

221002020122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317943126 (or 317943119 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 221002020122100 its reverse (1221020200122), we get a palindrome (222223040322222).

The spelling of 221002020122100 in words is "two hundred twenty-one trillion, two billion, twenty million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 331 350 420 525 662 700 993 1050 1324 1655 1986 2100 2317 3310 3972 4634 4965 6620 6951 8275 9268 9930 11585 13902 16550 19860 23170 24825 27804 33100 34755 46340 49650 57925 69510 99300 115850 139020 173775 231700 347550 695100 317942771 635885542 953828313 1271771084 1589713855 1907656626 2225599397 3179427710 3815313252 4451198794 4769141565 6358855420 6676798191 7948569275 8902397588 9538283130 11127996985 13353596382 15897138550 19076566260 22255993970 23845707825 26707192764 31794277100 33383990955 44511987940 47691415650 55639984925 66767981910 95382831300 105239057201 111279969850 133535963820 166919954775 210478114402 222559939700 315717171603 333839909550 420956228804 526195286005 631434343206 667679819100 736673400407 1052390572010 1262868686412 1473346800814 1578585858015 2104781144020 2210020201221 2630976430025 2946693601628 3157171716030 3683367002035 4420040402442 5261952860050 6314343432060 7366734004070 7892929290075 8840080804884 10523905720100 11050101006105 14733468008140 15785858580150 18416835010175 22100202012210 31571717160300 36833670020350 44200404024420 55250505030525 73667340040700 110501010061050 221002020122100