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100222111102212 = 2232111973091182243
BaseRepresentation
bin10110110010011011000111…
…010101001011010100000100
3111010212010210020112120211200
4112302123013111023110010
5101114014340420232322
6553053222514302500
730052544225310141
oct2662330725132404
9433763706476750
10100222111102212
1129a2aa5aa28770
12b2a7872287a30
1343bcb9b317048
141aa6ac17153c8
15b8c018ebb8ac
hex5b26c754b504

100222111102212 has 144 divisors (see below), whose sum is σ = 290921433304320. Its totient is φ = 28771346404800.

The previous prime is 100222111102207. The next prime is 100222111102229. The reversal of 100222111102212 is 212201111222001.

100222111102212 is a `hidden beast` number, since 100 + 22 + 211 + 110 + 221 + 2 = 666.

It is a super-2 number, since 2×1002221111022122 (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 549845563 + ... + 550027805.

It is an arithmetic number, because the mean of its divisors is an integer number (2020287731280).

Almost surely, 2100222111102212 is an apocalyptic number.

100222111102212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100222111102212 is an abundant number, since it is smaller than the sum of its proper divisors (190699322202108).

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

100222111102212 is a wasteful number, since it uses less digits than its factorization.

100222111102212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255374 (or 255369 counting only the distinct ones).

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

Adding to 100222111102212 its reverse (212201111222001), we get a palindrome (312423222324213).

The spelling of 100222111102212 in words is "one hundred trillion, two hundred twenty-two billion, one hundred eleven million, one hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 342 396 418 627 684 836 1254 1881 2508 3762 7524 73091 146182 182243 219273 292364 364486 438546 546729 657819 728972 804001 877092 1093458 1315638 1388729 1608002 1640187 2004673 2186916 2412003 2631276 2777458 3216004 3280374 3462617 4009346 4166187 4824006 5554916 6014019 6560748 6925234 7236009 8018692 8332374 9648012 10387851 12028038 12498561 13850468 14472018 15276019 16664748 18042057 20775702 24056076 24997122 28944036 30552038 31163553 36084114 38088787 41551404 45828057 49994244 61104076 62327106 72168228 76177574 91656114 114266361 124654212 137484171 152355148 183312228 228532722 274968342 342799083 457065444 549936684 685598166 1371196332 13320323113 26640646226 39960969339 53281292452 79921938678 119882908017 146523554243 159843877356 239765816034 253086139147 293047108486 439570662729 479531632068 506172278294 586094216972 759258417441 879141325458 1012344556588 1318711988187 1518516834882 1758282650916 2277775252323 2637423976374 2783947530617 3037033669764 4555550504646 5274847952748 5567895061234 8351842591851 9111101009292 11135790122468 16703685183702 25055527775553 33407370367404 50111055551106 100222111102212