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10213231032 = 2334172413847
BaseRepresentation
bin10011000001100000…
…11000100110111000
3222100202222220010000
421200300120212320
5131404041343112
64405240553000
7511044013524
oct114060304670
928322886100
1010213231032
114371114704
121b90482760
13c69c27b94
146cc5cad84
153eb97c7dc
hex260c189b8

10213231032 has 160 divisors (see below), whose sum is σ = 30422826720. Its totient is φ = 3190026240.

The previous prime is 10213231009. The next prime is 10213231051. The reversal of 10213231032 is 23013231201.

It is a super-2 number, since 2×102132310322 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10213230996 and 10213231014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2652933 + ... + 2656779.

It is an arithmetic number, because the mean of its divisors is an integer number (190142667).

Almost surely, 210213231032 is an apocalyptic number.

10213231032 is a gapful number since it is divisible by the number (12) 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 10213231032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15211413360).

10213231032 is an abundant number, since it is smaller than the sum of its proper divisors (20209595688).

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

10213231032 is a wasteful number, since it uses less digits than its factorization.

10213231032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4123 (or 4110 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10213231032 its reverse (23013231201), we get a palindrome (33226462233).

The spelling of 10213231032 in words is "ten billion, two hundred thirteen million, two hundred thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 241 306 324 408 459 482 612 648 723 918 964 1224 1377 1446 1836 1928 2169 2754 2892 3672 3847 4097 4338 5508 5784 6507 7694 8194 8676 11016 11541 12291 13014 15388 16388 17352 19521 23082 24582 26028 30776 32776 34623 36873 39042 46164 49164 52056 65399 69246 73746 78084 92328 98328 103869 110619 130798 138492 147492 156168 196197 207738 221238 261596 276984 294984 311607 331857 392394 415476 442476 523192 588591 623214 663714 784788 830952 884952 927127 1177182 1246428 1327428 1569576 1765773 1854254 2354364 2492856 2654856 2781381 3531546 3708508 4708728 5297319 5562762 7063092 7417016 8344143 10594638 11125524 14126184 15761159 16688286 21189276 22251048 25032429 31522318 33376572 42378552 47283477 50064858 63044636 66753144 75097287 94566954 100129716 126089272 141850431 150194574 189133908 200259432 283700862 300389148 378267816 425551293 567401724 600778296 851102586 1134803448 1276653879 1702205172 2553307758 3404410344 5106615516 10213231032