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10211033232 = 2433197119983
BaseRepresentation
bin10011000001010000…
…00000000010010000
3222100121212020022000
421200220000002100
5131403011030412
64405121514000
7511016231121
oct114050000220
928317766260
1010211033232
11436a953444
121b8b7a2900
13c696386ca
146cc1b8048
153eb6964dc
hex260a00090

10211033232 has 80 divisors (see below), whose sum is σ = 29458471680. Its totient is φ = 3386371968.

The previous prime is 10211033213. The next prime is 10211033263. The reversal of 10211033232 is 23233011201.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25113 + ... + 145095.

It is an arithmetic number, because the mean of its divisors is an integer number (368230896).

Almost surely, 210211033232 is an apocalyptic number.

10211033232 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 10211033232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14729235840).

10211033232 is an abundant number, since it is smaller than the sum of its proper divisors (19247438448).

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

10211033232 is a wasteful number, since it uses less digits than its factorization.

10211033232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120197 (or 120185 counting only the distinct ones).

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

Adding to 10211033232 its reverse (23233011201), we get a palindrome (33444044433).

The spelling of 10211033232 in words is "ten billion, two hundred eleven million, thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 197 216 394 432 591 788 1182 1576 1773 2364 3152 3546 4728 5319 7092 9456 10638 14184 21276 28368 42552 85104 119983 239966 359949 479932 719898 959864 1079847 1439796 1919728 2159694 2879592 3239541 4319388 5759184 6479082 8638776 12958164 17277552 23636651 25916328 47273302 51832656 70909953 94546604 141819906 189093208 212729859 283639812 378186416 425459718 567279624 638189577 850919436 1134559248 1276379154 1701838872 2552758308 3403677744 5105516616 10211033232