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1102120210212 = 2237238920532347
BaseRepresentation
bin10000000010011011011…
…110111100111100100100
310220100202122121121100220
4100002123132330330210
5121024120233211322
62202150153004340
7142424365134300
oct20023336747444
93810678547326
101102120210212
1139545214333a
121597219b36b0
137cc11121128
143b4b2cd4d00
151da06bab55c
hex1009b7bcf24

1102120210212 has 144 divisors (see below), whose sum is σ = 3001898652480. Its totient is φ = 313795254528.

The previous prime is 1102120210171. The next prime is 1102120210337. The reversal of 1102120210212 is 2120120212011.

It is a junction number, because it is equal to n+sod(n) for n = 1102120210191 and 1102120210200.

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, 469585623 + ... + 469587969.

It is an arithmetic number, because the mean of its divisors is an integer number (20846518420).

Almost surely, 21102120210212 is an apocalyptic number.

1102120210212 is a gapful number since it is divisible by the number (12) 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 1102120210212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500949326240).

1102120210212 is an abundant number, since it is smaller than the sum of its proper divisors (1899778442268).

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

1102120210212 is a wasteful number, since it uses less digits than its factorization.

1102120210212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4810 (or 4801 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1102120210212 its reverse (2120120212011), we get a palindrome (3222240422223).

The spelling of 1102120210212 in words is "one trillion, one hundred two billion, one hundred twenty million, two hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 389 588 778 1167 1556 2053 2334 2347 2723 4106 4668 4694 5446 6159 7041 8169 8212 9388 10892 12318 14082 14371 16338 16429 19061 24636 28164 28742 32676 32858 38122 43113 49287 57183 57484 65716 76244 86226 98574 100597 114366 115003 172452 197148 201194 228732 230006 301791 345009 402388 460012 603582 690018 798617 912983 1207164 1380036 1597234 1825966 2395851 2738949 3194468 3651932 4791702 4818391 5477898 5590319 6390881 9583404 9636782 10955796 11180638 12781762 14455173 16770957 19172643 19273564 22361276 25563524 28910346 33541914 33728737 38345286 39132233 44736167 57820692 67083828 67457474 76690572 78264466 89472334 101186211 117396699 134208501 134914948 156528932 178944668 202372422 234793398 236101159 268417002 404744844 469586796 472202318 536834004 708303477 944404636 1416606954 1874354099 2833213908 3748708198 5623062297 7497416396 11246124594 13120478693 22492249188 26240957386 39361436079 52481914772 78722872158 91843350851 157445744316 183686701702 275530052553 367373403404 551060105106 1102120210212