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131022232000200 = 23325276399528751
BaseRepresentation
bin11101110010100111111101…
…100110001001011011001000
3122011220121021121212100011200
4131302213331212021123020
5114133132012343001300
61142354441001224200
736412021023302562
oct3562477546113310
9564817247770150
10131022232000200
1138825242248a02
1212840ba0492060
135815460782518
14244d71d0d8332
1510232c79b9200
hex7729fd9896c8

131022232000200 has 144 divisors (see below), whose sum is σ = 440073976617600. Its totient is φ = 34934684400000.

The previous prime is 131022232000171. The next prime is 131022232000223. The reversal of 131022232000200 is 2000232220131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8985825 + ... + 18514575.

Almost surely, 2131022232000200 is an apocalyptic number.

131022232000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131022232000200 is an abundant number, since it is smaller than the sum of its proper divisors (309051744617400).

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

131022232000200 is a wasteful number, since it uses less digits than its factorization.

131022232000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9536412 (or 9536400 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 131022232000200 its reverse (2000232220131), we get a palindrome (133022464220331).

The spelling of 131022232000200 in words is "one hundred thirty-one trillion, twenty-two billion, two hundred thirty-two million, two hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 7639 15278 22917 30556 38195 45834 61112 68751 76390 91668 114585 137502 152780 183336 190975 229170 275004 305560 343755 381950 458340 550008 572925 687510 763900 916680 1145850 1375020 1527800 1718775 2291700 2750040 3437550 4583400 6875100 9528751 13750200 19057502 28586253 38115004 47643755 57172506 76230008 85758759 95287510 114345012 142931265 171517518 190575020 228690024 238218775 285862530 343035036 381150040 428793795 476437550 571725060 686070072 714656325 857587590 952875100 1143450120 1429312650 1715175180 1905750200 2143968975 2858625300 3430350360 4287937950 5717250600 8575875900 17151751800 72790128889 145580257778 218370386667 291160515556 363950644445 436740773334 582321031112 655111160001 727901288890 873481546668 1091851933335 1310222320002 1455802577780 1746963093336 1819753222225 2183703866670 2620444640004 2911605155560 3275555800005 3639506444450 4367407733340 5240889280008 5459259666675 6551111600010 7279012888900 8734815466680 10918519333350 13102223200020 14558025777800 16377779000025 21837038666700 26204446400040 32755558000050 43674077333400 65511116000100 131022232000200