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100110221220009 = 3711133110110647313
BaseRepresentation
bin10110110000110010111010…
…001011001001100010101001
3111010110102222102222122110110
4112300302322023021202221
5101110201213113020014
6552530000054004533
730041503415100060
oct2660627213114251
9433412872878413
10100110221220009
1129997563013140
12b28a046646749
1343b2479419960
141aa150953d1d7
15b8916b013d59
hex5b0cba2c98a9

100110221220009 has 128 divisors (see below), whose sum is σ = 186831229648896. Its totient is φ = 45996387840000.

The previous prime is 100110221219993. The next prime is 100110221220013. The reversal of 100110221220009 is 900022122011001.

It is not a de Polignac number, because 100110221220009 - 24 = 100110221219993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (100110221220019) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4078737 + ... + 14726049.

It is an arithmetic number, because the mean of its divisors is an integer number (1459618981632).

Almost surely, 2100110221220009 is an apocalyptic number.

It is an amenable number.

100110221220009 is a deficient number, since it is larger than the sum of its proper divisors (86721008428887).

100110221220009 is a wasteful number, since it uses less digits than its factorization.

100110221220009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10647479.

The product of its (nonzero) digits is 144, while the sum is 21.

It can be divided in two parts, 1001102 and 21220009, that added together give a triangular number (22221111 = T6666).

The spelling of 100110221220009 in words is "one hundred trillion, one hundred ten billion, two hundred twenty-one million, two hundred twenty thousand, nine".

Divisors: 1 3 7 11 13 21 31 33 39 77 91 93 101 143 217 231 273 303 341 403 429 651 707 1001 1023 1111 1209 1313 2121 2387 2821 3003 3131 3333 3939 4433 7161 7777 8463 9191 9393 13299 14443 21917 23331 27573 31031 34441 40703 43329 65751 93093 101101 103323 122109 241087 284921 303303 447733 723261 854763 1343199 3134131 9402393 10647313 31941939 74531191 117120443 138415069 223593573 330066703 351361329 415245207 819843101 968905483 990200109 1075378613 1522565759 2310466921 2459529303 2906716449 3226135839 3630733733 4290867139 4567697277 6931400763 7527650291 10657960313 10892201199 11829164743 12872601417 13979921969 22582950873 25415136131 30036069973 31973880939 33336737003 35487494229 41939765907 47199538529 76245408393 82804153201 90108209919 97859453783 100010211009 141598615587 153779141659 233357159021 248412459603 293578361349 330396769703 366704107033 433377581039 461337424977 700071477063 991190309109 1076453991613 1100112321099 1300132743117 2566928749231 3033643067273 3229361974839 4767153391429 7700786247693 9100929201819 14301460174287 33370073740003 100110221220009