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10216430620 = 225111071313313
BaseRepresentation
bin10011000001111001…
…00101110000011100
3222101000000110010021
421200330211300130
5131410401234440
64405433321524
7511113141004
oct114074456034
928330013107
1010216430620
1143729aa5a0
121b915662a4
13c6a7a8326
146ccbc1004
153ebdb084a
hex260f25c1c

10216430620 has 96 divisors (see below), whose sum is σ = 23811169536. Its totient is φ = 3651148800.

The previous prime is 10216430611. The next prime is 10216430629. The reversal of 10216430620 is 2603461201.

It is an interprime number because it is at equal distance from previous prime (10216430611) and next prime (10216430629).

It is a super-2 number, since 2×102164306202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10216430629) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3082084 + ... + 3085396.

It is an arithmetic number, because the mean of its divisors is an integer number (248033016).

Almost surely, 210216430620 is an apocalyptic number.

10216430620 is a gapful number since it is divisible by the number (10) 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 10216430620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11905584768).

10216430620 is an abundant number, since it is smaller than the sum of its proper divisors (13594738916).

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

10216430620 is a wasteful number, since it uses less digits than its factorization.

10216430620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3571 (or 3569 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 10216430620 its reverse (2603461201), we get a palindrome (12819891821).

The spelling of 10216430620 in words is "ten billion, two hundred sixteen million, four hundred thirty thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 107 110 131 214 220 262 428 524 535 655 1070 1177 1310 1441 2140 2354 2620 2882 3313 4708 5764 5885 6626 7205 11770 13252 14017 14410 16565 23540 28034 28820 33130 36443 56068 66260 70085 72886 140170 145772 154187 182215 280340 308374 354491 364430 434003 616748 708982 728860 770935 868006 1417964 1541870 1736012 1772455 2170015 3083740 3544910 3899401 4340030 4774033 7089820 7798802 8680060 9548066 15597604 19096132 19497005 23870165 38994010 46438321 47740330 77988020 92876642 95480660 185753284 232191605 464383210 510821531 928766420 1021643062 2043286124 2554107655 5108215310 10216430620