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2105252630 = 25131719181277
BaseRepresentation
bin111110101111011…
…1001101100010110
312102201101220200122
41331132321230112
513302421041010
6544522511542
7103112231525
oct17536715426
95381356618
102105252630
119903a6508
124a90655b2
13277209920
1415d8564bc
15c4c53855
hex7d7b9b16

2105252630 has 128 divisors (see below), whose sum is σ = 4590069120. Its totient is φ = 686776320.

The previous prime is 2105252533. The next prime is 2105252663. The reversal of 2105252630 is 362525012.

It is a super-2 number, since 2×21052526302 = 8864177272243833800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 2105252630.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7600052 + ... + 7600328.

It is an arithmetic number, because the mean of its divisors is an integer number (35859915).

Almost surely, 22105252630 is an apocalyptic number.

2105252630 is an abundant number, since it is smaller than the sum of its proper divisors (2484816490).

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

2105252630 is a wasteful number, since it uses less digits than its factorization.

2105252630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514.

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 2105252630 is about 45883.0320488958. The cubic root of 2105252630 is about 1281.6459599353.

Adding to 2105252630 its reverse (362525012), we get a palindrome (2467777642).

The spelling of 2105252630 in words is "two billion, one hundred five million, two hundred fifty-two thousand, six hundred thirty".

Divisors: 1 2 5 10 13 17 19 26 34 38 65 85 95 130 170 181 190 221 247 277 323 362 442 494 554 646 905 1105 1235 1385 1615 1810 2210 2353 2470 2770 3077 3230 3439 3601 4199 4706 4709 5263 6154 6878 7202 8398 9418 10526 11765 15385 17195 18005 20995 23530 23545 26315 30770 34390 36010 40001 41990 44707 47090 50137 52630 58463 61217 68419 80002 89414 89471 100274 116926 122434 136838 178942 200005 223535 250685 292315 306085 342095 400010 447070 447355 501370 584630 612170 651781 684190 760019 852329 894710 952603 1163123 1303562 1520038 1704658 1905206 2326246 3258905 3800095 4261645 4763015 5815615 6517810 7600190 8523290 9526030 11080277 11631230 12383839 16194251 22160554 24767678 32388502 55401385 61919195 80971255 110802770 123838390 161942510 210525263 421050526 1052626315 2105252630