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2102631630 = 2351143712087
BaseRepresentation
bin111110101010011…
…1001110011001110
312102112110202100120
41331110321303032
513301233203010
6544350405410
7103051034241
oct17524716316
95375422316
102102631630
119899762a0
124a8200866
132767cc938
1415d373258
15c48d6e70
hex7d539cce

2102631630 has 128 divisors (see below), whose sum is σ = 5715173376. Its totient is φ = 490627200.

The previous prime is 2102631617. The next prime is 2102631647. The reversal of 2102631630 is 361362012.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2102631630.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1006447 + ... + 1008533.

It is an arithmetic number, because the mean of its divisors is an integer number (44649792).

Almost surely, 22102631630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102631630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2857586688).

2102631630 is an abundant number, since it is smaller than the sum of its proper divisors (3612541746).

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

2102631630 is a wasteful number, since it uses less digits than its factorization.

2102631630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2222.

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 2102631630 is about 45854.4613969023. The cubic root of 2102631630 is about 1281.1138640049.

Adding to 2102631630 its reverse (361362012), we get a palindrome (2463993642).

The spelling of 2102631630 in words is "two billion, one hundred two million, six hundred thirty-one thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 43 55 66 71 86 110 129 142 165 213 215 258 330 355 426 430 473 645 710 781 946 1065 1290 1419 1562 2087 2130 2343 2365 2838 3053 3905 4174 4686 4730 6106 6261 7095 7810 9159 10435 11715 12522 14190 15265 18318 20870 22957 23430 30530 31305 33583 45795 45914 62610 67166 68871 89741 91590 100749 114785 137742 148177 167915 179482 201498 229570 269223 296354 335830 344355 444531 448705 503745 538446 688710 740885 889062 897410 987151 1007490 1346115 1481770 1629947 1974302 2222655 2692230 2961453 3259894 4445310 4889841 4935755 5922906 6371611 8149735 9779682 9871510 12743222 14807265 16299470 19114833 24449205 29614530 31858055 38229666 48898410 63716110 70087721 95574165 140175442 191148330 210263163 350438605 420526326 700877210 1051315815 2102631630