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200101111200120 = 233513413128535197
BaseRepresentation
bin101101011111110110101011…
…101001101111100101111000
3222020111110221111012012211010
4231133312223221233211320
5202211424033431400440
61545325103105233520
760101554034324514
oct5537665351574570
9866443844165733
10200101111200120
115883844a713559
121a538b293328a0
1387865b9071190
14375ad3449b144
151820150b23580
hexb5fdaba6f978

200101111200120 has 128 divisors (see below), whose sum is σ = 662248330712640. Its totient is φ = 48054300610560.

The previous prime is 200101111200103. The next prime is 200101111200157. The reversal of 200101111200120 is 21002111101002.

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

It is a junction number, because it is equal to n+sod(n) for n = 200101111200096 and 200101111200105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1564203639 + ... + 1564331558.

Almost surely, 2200101111200120 is an apocalyptic number.

200101111200120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200101111200120 is an abundant number, since it is smaller than the sum of its proper divisors (462147219512520).

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

200101111200120 is a wasteful number, since it uses less digits than its factorization.

200101111200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3128535265 (or 3128535261 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 200101111200120 its reverse (21002111101002), we get a palindrome (221103222301122).

The spelling of 200101111200120 in words is "two hundred trillion, one hundred one billion, one hundred eleven million, two hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 41 52 60 65 78 82 104 120 123 130 156 164 195 205 246 260 312 328 390 410 492 520 533 615 780 820 984 1066 1230 1560 1599 1640 2132 2460 2665 3198 4264 4920 5330 6396 7995 10660 12792 15990 21320 31980 63960 3128535197 6257070394 9385605591 12514140788 15642675985 18771211182 25028281576 31285351970 37542422364 40670957561 46928027955 62570703940 75084844728 81341915122 93856055910 122012872683 125141407880 128269943077 162683830244 187712111820 203354787805 244025745366 256539886154 325367660488 375424223640 384809829231 406709575610 488051490732 513079772308 610064363415 641349715385 769619658462 813419151220 976102981464 1026159544616 1220128726830 1282699430770 1539239316924 1626838302440 1667509260001 1924049146155 2440257453660 2565398861540 3078478633848 3335018520002 3848098292310 4880514907320 5002527780003 5130797723080 6670037040004 7696196584620 8337546300005 10005055560006 13340074080008 15392393169240 16675092600010 20010111120012 25012638900015 33350185200020 40020222240024 50025277800030 66700370400040 100050555600060 200101111200120