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202311000120 = 233523117162597
BaseRepresentation
bin1011110001101010101…
…1001110000000111000
3201100012101211122200110
42330122223032000320
511303313104000440
6232535042504320
720421312061455
oct2743253160070
9640171748613
10202311000120
1178888315859
12332616650a0
1316102046178
149b12db482c
1553e12ba080
hex2f1aace038

202311000120 has 128 divisors (see below), whose sum is σ = 633872355840. Its totient is φ = 51559073280.

The previous prime is 202311000041. The next prime is 202311000131. The reversal of 202311000120 is 21000113202.

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 = 202311000096 and 202311000105.

It is a congruent number.

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, 3200662 + ... + 3263258.

It is an arithmetic number, because the mean of its divisors is an integer number (4952127780).

Almost surely, 2202311000120 is an apocalyptic number.

202311000120 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 202311000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316936177920).

202311000120 is an abundant number, since it is smaller than the sum of its proper divisors (431561355720).

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

202311000120 is a wasteful number, since it uses less digits than its factorization.

202311000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63805 (or 63801 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 202311000120 its reverse (21000113202), we get a palindrome (223311113322).

The spelling of 202311000120 in words is "two hundred two billion, three hundred eleven million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1171 1380 2342 2760 3513 4684 5855 7026 9368 11710 14052 17565 23420 26933 28104 35130 46840 53866 62597 70260 80799 107732 125194 134665 140520 161598 187791 215464 250388 269330 312985 323196 375582 403995 500776 538660 625970 646392 751164 807990 938955 1077320 1251940 1439731 1502328 1615980 1877910 2503880 2879462 3231960 3755820 4319193 5758924 7198655 7511640 8638386 11517848 14397310 17276772 21595965 28794620 34553544 43191930 57589240 73301087 86383860 146602174 172767720 219903261 293204348 366505435 439806522 586408696 733010870 879613044 1099516305 1466021740 1685925001 1759226088 2199032610 2932043480 3371850002 4398065220 5057775003 6743700004 8429625005 8796130440 10115550006 13487400008 16859250010 20231100012 25288875015 33718500020 40462200024 50577750030 67437000040 101155500060 202311000120