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101112220100212 = 22196167586155541
BaseRepresentation
bin10110111111011000000101…
…111101100010011001110100
3111021000020022110122201002121
4112333120011331202121310
5101223110311321201322
6555014151311245324
730204055034045146
oct2677300575423164
9437006273581077
10101112220100212
112a2434a7290342
12b410285b19844
134455ac2859c39
141ad7c0122cc96
15ba5262ebaec7
hex5bf605f62674

101112220100212 has 96 divisors (see below), whose sum is σ = 192174591288960. Its totient is φ = 46398204864000.

The previous prime is 101112220100153. The next prime is 101112220100257. The reversal of 101112220100212 is 212001022211101.

It is a super-4 number, since 4×1011122201002124 (a number of 57 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1820469162 + ... + 1820524702.

It is an arithmetic number, because the mean of its divisors is an integer number (2001818659260).

Almost surely, 2101112220100212 is an apocalyptic number.

It is an amenable number.

101112220100212 is a deficient number, since it is larger than the sum of its proper divisors (91062371188748).

101112220100212 is a wasteful number, since it uses less digits than its factorization.

101112220100212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61553 (or 61551 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101112220100212 its reverse (212001022211101), we get a palindrome (313113242311313).

The spelling of 101112220100212 in words is "one hundred one trillion, one hundred twelve billion, two hundred twenty million, one hundred thousand, two hundred twelve".

Divisors: 1 2 4 19 38 61 67 76 122 134 244 268 1159 1273 2318 2546 4087 4636 5092 5861 8174 11722 16348 23444 55541 77653 111082 111359 155306 222164 222718 310612 357521 392687 445436 715042 785374 1055279 1430084 1570748 2110558 3388001 3721247 4221116 6776002 6792899 7442494 7461053 13552004 13585798 14884988 14922106 23953907 27171596 29844212 47907814 64372019 70703693 95815628 128744038 141407386 226996067 257488076 282814772 325525801 453992134 455124233 651051602 907984268 910248466 1302103204 1820496932 4312925273 6184990219 8625850546 12369980438 17251701092 19857073861 21810228667 24739960876 39714147722 43620457334 79428295444 87240914668 377284403359 414394344673 754568806718 828788689346 1330423948687 1509137613436 1657577378692 2660847897374 5321695794748 25278055025053 50556110050106 101112220100212