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2102111212212 = 22321171457163601
BaseRepresentation
bin11110100101101111100…
…101111001001010110100
321102221220202002212220200
4132211233211321022310
5233420110432242322
64245410242400500
7304605163326144
oct36455745711264
97387822085820
102102111212212
11740555a82970
1229b4a0960130
131232c75891bb
1473a58078924
1539a327468ac
hex1e96f9792b4

2102111212212 has 144 divisors (see below), whose sum is σ = 5891273990784. Its totient is φ = 626653440000.

The previous prime is 2102111212183. The next prime is 2102111212261. The reversal of 2102111212212 is 2122121112012.

2102111212212 is a `hidden beast` number, since 210 + 21 + 11 + 212 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 12767212 + ... + 12930812.

It is an arithmetic number, because the mean of its divisors is an integer number (40911624936).

Almost surely, 22102111212212 is an apocalyptic number.

2102111212212 is a gapful number since it is divisible by the number (22) 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 2102111212212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2945636995392).

2102111212212 is an abundant number, since it is smaller than the sum of its proper divisors (3789162778572).

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

2102111212212 is a wasteful number, since it uses less digits than its factorization.

2102111212212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164150 (or 164145 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 2102111212212 its reverse (2122121112012), we get a palindrome (4224232324224).

The spelling of 2102111212212 in words is "two trillion, one hundred two billion, one hundred eleven million, two hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 71 99 132 142 198 213 284 396 426 457 639 781 852 914 1278 1371 1562 1828 2343 2556 2742 3124 4113 4686 5027 5484 7029 8226 9372 10054 14058 15081 16452 20108 28116 30162 32447 45243 60324 64894 90486 97341 129788 163601 180972 194682 292023 327202 356917 389364 490803 584046 654404 713834 981606 1070751 1168092 1427668 1472409 1799611 1963212 2141502 2944818 3212253 3599222 4283004 5398833 5889636 6424506 7198444 10797666 11615671 12849012 16196499 21595332 23231342 32392998 34847013 46462684 64785996 69694026 74765657 104541039 127772381 139388052 149531314 209082078 224296971 255544762 299062628 383317143 418164156 448593942 511089524 672890913 766634286 822422227 897187884 1149951429 1345781826 1533268572 1644844454 2299902858 2467266681 2691563652 3289688908 4599805716 4934533362 5308361647 7401800043 9869066724 10616723294 14803600086 15925084941 21233446588 29607200172 31850169882 47775254823 58391978117 63700339764 95550509646 116783956234 175175934351 191101019292 233567912468 350351868702 525527803053 700703737404 1051055606106 2102111212212