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201120000102 = 232726124115511
BaseRepresentation
bin1011101101001110101…
…1111010100001100110
3201020010101202120210200
42323103223322201212
511243343210000402
6232220535331330
720346640536300
oct2732353724146
9636111676720
10201120000102
1178326aa691a
1232b8a820b46
1315c72383328
149a3cb48970
15537195b21c
hex2ed3afa866

201120000102 has 144 divisors (see below), whose sum is σ = 517385572704. Its totient is φ = 56282688000.

The previous prime is 201120000089. The next prime is 201120000119. The reversal of 201120000102 is 201000021102.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12958527 + ... + 12974037.

It is an arithmetic number, because the mean of its divisors is an integer number (3592955366).

Almost surely, 2201120000102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201120000102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258692786352).

201120000102 is an abundant number, since it is smaller than the sum of its proper divisors (316265572602).

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

201120000102 is a wasteful number, since it uses less digits than its factorization.

201120000102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15835 (or 15825 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 201120000102 its reverse (201000021102), we get a palindrome (402120021204).

The spelling of 201120000102 in words is "two hundred one billion, one hundred twenty million, one hundred two", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 14 18 21 42 49 61 63 98 122 126 147 183 241 294 366 427 441 482 549 723 854 882 1098 1281 1446 1687 2169 2562 2989 3374 3843 4338 5061 5978 7686 8967 10122 11809 14701 15183 15511 17934 23618 26901 29402 30366 31022 35427 44103 46533 53802 70854 88206 93066 102907 106281 108577 132309 139599 205814 212562 217154 264618 279198 308721 325731 617442 651462 720349 760039 926163 946171 977193 1440698 1520078 1852326 1892342 1954386 2161047 2280117 2838513 3738151 4322094 4560234 5677026 6483141 6623197 6840351 7476302 8515539 11214453 12966282 13246394 13680702 17031078 19869591 22428906 26167057 33643359 39739182 46362379 52334114 59608773 67286718 78501171 92724758 119217546 139087137 157002342 183169399 228027211 235503513 278174274 366338798 417261411 456054422 471007026 549508197 684081633 834522822 1099016394 1368163266 1596190477 1648524591 2052244899 3192380954 3297049182 4104489798 4788571431 9577142862 11173333339 14365714293 22346666678 28731428586 33520000017 67040000034 100560000051 201120000102