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100210111211223 = 321310111037688273
BaseRepresentation
bin10110110010001111111100…
…000101001110011011010111
3111010210222210221121222000200
4112302033330011032123113
5101113320301432224343
6553043520051111543
730051640655026206
oct2662177405163327
9433728727558020
10100210111211223
1129a25962340a92
12b2a54835a25b3
1343bba081c0030
141aa62a3b2523d
15b8ba6576d4d3
hex5b23fc14e6d7

100210111211223 has 48 divisors (see below), whose sum is σ = 157568530863744. Its totient is φ = 61001825356800.

The previous prime is 100210111211183. The next prime is 100210111211227. The reversal of 100210111211223 is 322112111012001.

It is a happy number.

100210111211223 is a `hidden beast` number, since 10 + 0 + 210 + 1 + 11 + 211 + 223 = 666.

It is not a de Polignac number, because 100210111211223 - 214 = 100210111194839 is a prime.

It is a super-2 number, since 2×1002101112112232 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100210111211196 and 100210111211205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100210111211227) 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, 9190015 + ... + 16878287.

It is an arithmetic number, because the mean of its divisors is an integer number (3282677726328).

Almost surely, 2100210111211223 is an apocalyptic number.

100210111211223 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100210111211223 is a deficient number, since it is larger than the sum of its proper divisors (57358419652521).

100210111211223 is a wasteful number, since it uses less digits than its factorization.

100210111211223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7689496 (or 7689493 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 100210111211223 its reverse (322112111012001), we get a palindrome (422322222223224).

The spelling of 100210111211223 in words is "one hundred trillion, two hundred ten billion, one hundred eleven million, two hundred eleven thousand, two hundred twenty-three".

Divisors: 1 3 9 13 39 101 117 303 909 1103 1313 3309 3939 9927 11817 14339 43017 111403 129051 334209 1002627 1448239 4344717 7688273 13034151 23064819 69194457 99947549 299842647 776515573 899527941 2329546719 6988640157 8480165119 10094702449 25440495357 30284107347 76321486071 90852322041 110242146547 330726439641 856496677019 992179318923 2569490031057 7708470093171 11134456801247 33403370403741 100210111211223