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10003312213232 = 2413223091602187
BaseRepresentation
bin1001000110010001001111…
…0111101111110011110000
31022102022022000202010012112
42101210103313233303300
52302343240411310412
633135242545144452
72051500254604532
oct221442367576360
938368260663175
1010003312213232
113207420a5a928
12115686102b128
13577401425900
1426823cda7852
15125320b09722
hex91913defcf0

10003312213232 has 60 divisors (see below), whose sum is σ = 20996080930440. Its totient is φ = 4614910919424.

The previous prime is 10003312213217. The next prime is 10003312213267. The reversal of 10003312213232 is 23231221330001.

It is a junction number, because it is equal to n+sod(n) for n = 10003312213198 and 10003312213207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5442443 + ... + 7044629.

It is an arithmetic number, because the mean of its divisors is an integer number (349934682174).

Almost surely, 210003312213232 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 10003312213232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10498040465220).

10003312213232 is an abundant number, since it is smaller than the sum of its proper divisors (10992768717208).

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

10003312213232 is a wasteful number, since it uses less digits than its factorization.

10003312213232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604530 (or 1604511 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 10003312213232 its reverse (23231221330001), we get a palindrome (33234533543233).

The spelling of 10003312213232 in words is "ten trillion, three billion, three hundred twelve million, two hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2309 2704 4618 9236 18472 30017 36944 60034 120068 240136 390221 480272 780442 1560884 1602187 3121768 3204374 6243536 6408748 12817496 20828431 25634992 41656862 83313724 166627448 270769603 333254896 541539206 1083078412 2166156824 3699449783 4332313648 7398899566 14797799132 29595598264 48092847179 59191196528 96185694358 192371388716 384742777432 625207013327 769485554864 1250414026654 2500828053308 5001656106616 10003312213232