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10120202032 = 2423593831217
BaseRepresentation
bin10010110110011011…
…00000011100110000
3222010021221112022111
421123031200130300
5131211232431112
64352115015104
7505534204123
oct113315403460
928107845274
1010120202032
114323654636
121b6529a494
13c53885335
146c00d23ba
153e37035a7
hex25b360730

10120202032 has 80 divisors (see below), whose sum is σ = 20878663680. Its totient is φ = 4741738496.

The previous prime is 10120201991. The next prime is 10120202033. The reversal of 10120202032 is 23020202101.

It is a super-3 number, since 3×101202020323 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10120202033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8315088 + ... + 8316304.

It is an arithmetic number, because the mean of its divisors is an integer number (260983296).

Almost surely, 210120202032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10120202032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10439331840).

10120202032 is an abundant number, since it is smaller than the sum of its proper divisors (10758461648).

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

10120202032 is a wasteful number, since it uses less digits than its factorization.

10120202032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 10120202032 its reverse (23020202101), we get a palindrome (33140404133).

The spelling of 10120202032 in words is "ten billion, one hundred twenty million, two hundred two thousand, thirty-two".

Divisors: 1 2 4 8 16 23 46 59 92 118 184 236 368 383 472 766 944 1217 1357 1532 2434 2714 3064 4868 5428 6128 8809 9736 10856 17618 19472 21712 22597 27991 35236 45194 55982 70472 71803 90388 111964 140944 143606 180776 223928 287212 361552 447856 466111 519731 574424 932222 1039462 1148848 1651469 1864444 2078924 3302938 3728888 4157848 6605876 7457776 8315696 10720553 13211752 21441106 26423504 27500549 42882212 55001098 85764424 110002196 171528848 220004392 440008784 632512627 1265025254 2530050508 5060101016 10120202032