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200101120010120 = 23574332175166209
BaseRepresentation
bin101101011111110110101100…
…001011010110011110001000
3222020111110222002202210212102
4231133312230023112132020
5202211424043210310440
61545325104022132532
760101554202236610
oct5537665413263610
9866443862683772
10200101120010120
115883845469064a
121a538b30281148
1387865bab371b4
14375ad35711a40
1518201517b3b15
hexb5fdac2d6788

200101120010120 has 128 divisors (see below), whose sum is σ = 526675684550400. Its totient is φ = 66989764509696.

The previous prime is 200101120010107. The next prime is 200101120010179. The reversal of 200101120010120 is 21010021101002.

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, 36149576 + ... + 41315784.

It is an arithmetic number, because the mean of its divisors is an integer number (4114653785550).

Almost surely, 2200101120010120 is an apocalyptic number.

200101120010120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200101120010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263337842275200).

200101120010120 is an abundant number, since it is smaller than the sum of its proper divisors (326574564540280).

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

200101120010120 is a wasteful number, since it uses less digits than its factorization.

200101120010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5169487 (or 5169483 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 200101120010120 its reverse (21010021101002), we get a palindrome (221111141111122).

The spelling of 200101120010120 in words is "two hundred trillion, one hundred one billion, one hundred twenty million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 43 56 70 86 140 172 215 280 301 344 430 602 860 1204 1505 1720 2408 3010 3217 6020 6434 12040 12868 16085 22519 25736 32170 45038 64340 90076 112595 128680 138331 180152 225190 276662 450380 553324 691655 900760 968317 1106648 1383310 1936634 2766620 3873268 4841585 5166209 5533240 7746536 9683170 10332418 19366340 20664836 25831045 36163463 38732680 41329672 51662090 72326926 103324180 144653852 180817315 206648360 222146987 289307704 361634630 444293974 723269260 888587948 1110734935 1446538520 1555028909 1777175896 2221469870 3110057818 4442939740 6220115636 7775144545 8885879480 12440231272 15550289090 16619694353 31100578180 33239388706 62201156360 66478777412 83098471765 116337860471 132957554824 166196943530 232675720942 332393887060 465351441884 581689302355 664787774120 714646857179 930702883768 1163378604710 1429293714358 2326757209420 2858587428716 3573234285895 4653514418840 5002528000253 5717174857432 7146468571790 10005056000506 14292937143580 20010112001012 25012640001265 28585874287160 40020224002024 50025280002530 100050560005060 200101120010120