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100121212110204 = 2232311012791318259
BaseRepresentation
bin10110110000111101001001…
…010010000100010101111100
3111010111111100102021201101200
4112300331021102010111330
5101110341220300011304
6552535014434535500
730042342654111525
oct2660751122042574
9433444312251350
10100121212110204
11299a119309966a
12b2901b3437590
1343b350b4a498c
141aa1c6d11b84c
15b895b0da3e39
hex5b0f4948457c

100121212110204 has 144 divisors (see below), whose sum is σ = 263930156206080. Its totient is φ = 31965833520000.

The previous prime is 100121212110193. The next prime is 100121212110223. The reversal of 100121212110204 is 402011212121001.

It is a super-2 number, since 2×1001212121102042 (a number of 29 digits) contains 22 as substring.

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, 314431227 + ... + 314749485.

Almost surely, 2100121212110204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100121212110204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131965078103040).

100121212110204 is an abundant number, since it is smaller than the sum of its proper divisors (163808944095876).

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

100121212110204 is a wasteful number, since it uses less digits than its factorization.

100121212110204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321192 (or 321187 counting only the distinct ones).

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

Adding to 100121212110204 its reverse (402011212121001), we get a palindrome (502132424231205).

The spelling of 100121212110204 in words is "one hundred trillion, one hundred twenty-one billion, two hundred twelve million, one hundred ten thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 101 124 186 202 279 303 372 404 558 606 909 1116 1212 1818 2791 3131 3636 5582 6262 8373 9393 11164 12524 16746 18786 25119 28179 33492 37572 50238 56358 86521 100476 112716 173042 259563 281891 318259 346084 519126 563782 636518 778689 845673 954777 1038252 1127564 1273036 1557378 1691346 1909554 2537019 2864331 3114756 3382692 3819108 5074038 5728662 8738621 9866029 10148076 11457324 17477242 19732058 26215863 29598087 32144159 34954484 39464116 52431726 59196174 64288318 78647589 88794261 96432477 104863452 118392348 128576636 157295178 177588522 192864954 289297431 314590356 355177044 385729908 578594862 888260869 996468929 1157189724 1776521738 1992937858 2664782607 2989406787 3553043476 3985875716 5329565214 5978813574 7994347821 8968220361 10659130428 11957627148 15988695642 17936440722 27536086939 31977391284 35872881444 55072173878 82608260817 89714347769 110144347756 165216521634 179428695538 247824782451 269143043307 330433043268 358857391076 495649564902 538286086614 807429129921 991299129804 1076572173228 1614858259842 2781144780839 3229716519684 5562289561678 8343434342517 11124579123356 16686868685034 25030303027551 33373737370068 50060606055102 100121212110204