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1010211221110 = 257132325126267
BaseRepresentation
bin11101011001101010100…
…01111110111001110110
310120120112100122012111111
432230311101332321312
5113022403033033420
62052030140225234
7132661655461660
oct16546521767166
93516470565444
101010211221110
1135a478997503
1214395183b21a
137435496b900
1436c7466d530
151b427e4845a
hexeb3547ee76

1010211221110 has 96 divisors (see below), whose sum is σ = 2251081020672. Its totient is φ = 319604688000.

The previous prime is 1010211221083. The next prime is 1010211221111. The reversal of 1010211221110 is 111221120101.

It is a happy number.

It is a super-2 number, since 2×10102112211102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010211221111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38446197 + ... + 38472463.

It is an arithmetic number, because the mean of its divisors is an integer number (23448760632).

Almost surely, 21010211221110 is an apocalyptic number.

1010211221110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1010211221110 is an abundant number, since it is smaller than the sum of its proper divisors (1240869799562).

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

1010211221110 is a wasteful number, since it uses less digits than its factorization.

1010211221110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29558 (or 29545 counting only the distinct ones).

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

Adding to 1010211221110 its reverse (111221120101), we get a palindrome (1121432341211).

It can be divided in two parts, 1010211 and 221110, that added together give a palindrome (1231321).

The spelling of 1010211221110 in words is "one trillion, ten billion, two hundred eleven million, two hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 130 169 182 338 455 845 910 1183 1690 2366 3251 5915 6502 11830 16255 22757 26267 32510 42263 45514 52534 84526 113785 131335 183869 211315 227570 262670 295841 341471 367738 422630 549419 591682 682942 919345 1098838 1479205 1707355 1838690 2390297 2747095 2958410 3414710 3845933 4439123 4780594 5494190 7691866 8878246 11951485 19229665 22195615 23902970 31073861 38459330 44391230 62147722 85394017 155369305 170788034 310738610 426970085 597758119 853940170 1110122221 1195516238 2220244442 2988790595 5550611105 5977581190 7770855547 11101222210 14431588873 15541711094 28863177746 38854277735 72157944365 77708555470 101021122111 144315888730 202042244222 505105610555 1010211221110