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10200444201220 = 22571326321310417
BaseRepresentation
bin1001010001101111100111…
…0110100110100100000100
31100010011010111100200211211
42110123321312212210010
52314111002203414340
633410004103541204
72101646342056510
oct224337166464404
940104114320754
1010200444201220
113282a90910169
121188ab815a804
1358cb894c3b50
142739c01dd140
1512a50c3ac5ea
hex946f9da6904

10200444201220 has 96 divisors (see below), whose sum is σ = 26464470455808. Its totient is φ = 3215997499392.

The previous prime is 10200444201191. The next prime is 10200444201271. The reversal of 10200444201220 is 2210244400201.

It is a junction number, because it is equal to n+sod(n) for n = 10200444201191 and 10200444201200.

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, 10176549 + ... + 11133868.

It is an arithmetic number, because the mean of its divisors is an integer number (275671567248).

Almost surely, 210200444201220 is an apocalyptic number.

10200444201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200444201220 is an abundant number, since it is smaller than the sum of its proper divisors (16264026254588).

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

10200444201220 is a wasteful number, since it uses less digits than its factorization.

10200444201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21310709 (or 21310707 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 10200444201220 its reverse (2210244400201), we get a palindrome (12410688601421).

The spelling of 10200444201220 in words is "ten trillion, two hundred billion, four hundred forty-four million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 263 364 455 526 910 1052 1315 1820 1841 2630 3419 3682 5260 6838 7364 9205 13676 17095 18410 23933 34190 36820 47866 68380 95732 119665 239330 478660 21310417 42620834 85241668 106552085 149172919 213104170 277035421 298345838 426208340 554070842 596691676 745864595 1108141684 1385177105 1491729190 1939247947 2770354210 2983458380 3878495894 5540708420 5604639671 7756991788 9696239735 11209279342 19392479470 22418558684 28023198355 38784958940 39232477697 56046396710 72860315723 78464955394 112092793420 145720631446 156929910788 196162388485 291441262892 364301578615 392324776970 510022210061 728603157230 784649553940 1020044420122 1457206314460 2040088840244 2550111050305 5100222100610 10200444201220