Search a number
-
+
10002211112110 = 2572359222125601
BaseRepresentation
bin1001000110001101001000…
…1111011000010010101110
31022102012110021211101102111
42101203102033120102232
52302334012021041420
633134541412514234
72051431054444300
oct221432217302256
938365407741374
1010002211112110
113206a064632a8
1211565b431b97a
1357728727a999
14268176a5d970
151252a910745a
hex918d23d84ae

10002211112110 has 96 divisors (see below), whose sum is σ = 21012020187840. Its totient is φ = 3418103808000.

The previous prime is 10002211112099. The next prime is 10002211112141. The reversal of 10002211112110 is 1121111220001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 390683310 + ... + 390708910.

It is an arithmetic number, because the mean of its divisors is an integer number (218875210290).

Almost surely, 210002211112110 is an apocalyptic number.

10002211112110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10002211112110 is an abundant number, since it is smaller than the sum of its proper divisors (11009809075730).

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

10002211112110 is a wasteful number, since it uses less digits than its factorization.

10002211112110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28202 (or 28195 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10002211112110 its reverse (1121111220001), we get a palindrome (11123322332111).

The spelling of 10002211112110 in words is "ten trillion, two billion, two hundred eleven million, one hundred twelve thousand, one hundred ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 359 490 718 1795 2221 2513 3590 4442 5026 11105 12565 15547 17591 22210 25130 25601 31094 35182 51202 77735 87955 108829 128005 155470 175910 179207 217658 256010 358414 544145 797339 896035 1088290 1254449 1594678 1792070 2508898 3986695 5581373 6272245 7973390 9190759 11162746 12544490 18381518 27906865 39069611 45953795 55813730 56859821 64335313 78139222 91907590 113719642 128670626 195348055 284299105 321676565 390696110 398018747 450347191 568598210 643353130 796037494 900694382 1990093735 2251735955 2786131229 3980187470 4503471910 5572262458 13930656145 20412675739 27861312290 40825351478 102063378695 142888730173 204126757390 285777460346 714443650865 1000221111211 1428887301730 2000442222422 5001105556055 10002211112110