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10201001202 = 23272110910429
BaseRepresentation
bin10011000000000011…
…01110110011110010
3222022220222112221100
421200001232303302
5131342424014302
64404122505230
7510535036200
oct114001566362
928286875840
1010201001202
114365221207
121b88365216
13c675353b2
146cab26070
153ea863d1c
hex26006ecf2

10201001202 has 72 divisors (see below), whose sum is σ = 25736337900. Its totient is φ = 2911664448.

The previous prime is 10201001201. The next prime is 10201001243. The reversal of 10201001202 is 20210010201.

It can be written as a sum of positive squares in 2 ways, for example, as 10198778121 + 2223081 = 100989^2 + 1491^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10201001201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 972924 + ... + 983352.

Almost surely, 210201001202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10201001202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12868168950).

10201001202 is an abundant number, since it is smaller than the sum of its proper divisors (15535336698).

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

10201001202 is a wasteful number, since it uses less digits than its factorization.

10201001202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11560 (or 11550 counting only the distinct ones).

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

Adding to 10201001202 its reverse (20210010201), we get a palindrome (30411011403).

The spelling of 10201001202 in words is "ten billion, two hundred one million, one thousand, two hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 1109 2218 3327 6654 7763 9981 10429 15526 19962 20858 23289 31287 46578 54341 62574 69867 73003 93861 108682 139734 146006 163023 187722 219009 326046 438018 489069 511021 657027 978138 1022042 1314054 1533063 3066126 4599189 9198378 11565761 23131522 34697283 69394566 80960327 104091849 161920654 208183698 242880981 485761962 566722289 728642943 1133444578 1457285886 1700166867 3400333734 5100500601 10201001202