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200100222122100 = 2235217241162802231
BaseRepresentation
bin101101011111110101110110…
…101010001011100001110100
3222020111101122112020101001120
4231133311312222023201310
5202211420223330401400
61545324434545223540
760101523020305356
oct5537656652134164
9866441575211046
10200100222122100
1158838033871033
121a53891b631bb0
1387864a6accc01
14375ac8c3850d6
1518200eca52ca0
hexb5fd76a8b874

200100222122100 has 144 divisors (see below), whose sum is σ = 615556541609856. Its totient is φ = 50012845056000.

The previous prime is 200100222122041. The next prime is 200100222122161. The reversal of 200100222122100 is 1221222001002.

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 200100222122100.

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, 80172016 + ... + 82630215.

It is an arithmetic number, because the mean of its divisors is an integer number (4274698205624).

Almost surely, 2200100222122100 is an apocalyptic number.

200100222122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200100222122100 is an abundant number, since it is smaller than the sum of its proper divisors (415456319487756).

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

200100222122100 is a wasteful number, since it uses less digits than its factorization.

200100222122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162802506 (or 162802499 counting only the distinct ones).

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

Adding to 200100222122100 its reverse (1221222001002), we get a palindrome (201321444123102).

The spelling of 200100222122100 in words is "two hundred trillion, one hundred billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 241 255 300 340 425 482 510 723 850 964 1020 1205 1275 1446 1700 2410 2550 2892 3615 4097 4820 5100 6025 7230 8194 12050 12291 14460 16388 18075 20485 24100 24582 36150 40970 49164 61455 72300 81940 102425 122910 204850 245820 307275 409700 614550 1229100 162802231 325604462 488406693 651208924 814011155 976813386 1628022310 1953626772 2442033465 2767637927 3256044620 4070055775 4884066930 5535275854 8140111550 8302913781 9768133860 11070551708 12210167325 13838189635 16280223100 16605827562 24420334650 27676379270 33211655124 39235337671 41514568905 48840669300 55352758540 69190948175 78470675342 83029137810 117706013013 138381896350 156941350684 166058275620 196176688355 207572844525 235412026026 276763792700 392353376710 415145689050 470824052052 588530065065 667000740407 784706753420 830291378100 980883441775 1177060130130 1334001480814 1961766883550 2001002221221 2354120260260 2668002961628 2942650325325 3335003702035 3923533767100 4002004442442 5885300650650 6670007404070 8004008884884 10005011106105 11770601301300 13340014808140 16675018510175 20010022212210 33350037020350 40020044424420 50025055530525 66700074040700 100050111061050 200100222122100