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21010000312 = 2374125933529
BaseRepresentation
bin10011100100010010…
…110010100110111000
32000020020000121012201
4103210102302212320
5321012030002222
613352445115544
71342435025140
oct234422624670
960206017181
1021010000312
118a01663224
1240a4258bb4
131c9aa06862
1410344b7920
1582e775427
hex4e44b29b8

21010000312 has 64 divisors (see below), whose sum is σ = 46150372800. Its totient is φ = 8778792960.

The previous prime is 21010000261. The next prime is 21010000327. The reversal of 21010000312 is 21300001012.

It is a super-2 number, since 2×210100003122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5951764 + ... + 5955292.

It is an arithmetic number, because the mean of its divisors is an integer number (721099575).

Almost surely, 221010000312 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 21010000312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23075186400).

21010000312 is an abundant number, since it is smaller than the sum of its proper divisors (25140372488).

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

21010000312 is a wasteful number, since it uses less digits than its factorization.

21010000312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6176 (or 6172 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 21010000312 its reverse (21300001012), we get a palindrome (42310001324).

The spelling of 21010000312 in words is "twenty-one billion, ten million, three hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 28 41 56 82 164 287 328 574 1148 2296 2593 3529 5186 7058 10372 14116 18151 20744 24703 28232 36302 49406 72604 98812 106313 144689 145208 197624 212626 289378 425252 578756 744191 850504 1012823 1157512 1488382 2025646 2976764 4051292 5953528 8102584 9150697 18301394 36602788 64054879 73205576 128109758 256219516 375178577 512439032 750357154 1500714308 2626250039 3001428616 5252500078 10505000156 21010000312