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100200221212212 = 22341175737139419
BaseRepresentation
bin10110110010000110101110…
…100101110111111000110100
3111010210001021200211221220000
4112302012232211313320310
5101113140023112242322
6553035202434111300
730051140614311642
oct2662065645677064
9433701250757800
10100200221212212
1129a21747729390
12b2a358341b530
1343baac0238504
141aa5a06438192
15b8b68738d3ac
hex5b21ae977e34

100200221212212 has 120 divisors (see below), whose sum is σ = 286133679179040. Its totient is φ = 30323592008640.

The previous prime is 100200221212207. The next prime is 100200221212243. The reversal of 100200221212212 is 212212122002001.

It is a happy number.

100200221212212 is a `hidden beast` number, since 1 + 0 + 0 + 20 + 0 + 221 + 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 39 ways as a sum of consecutive naturals, for example, 15871762 + ... + 21267657.

It is an arithmetic number, because the mean of its divisors is an integer number (2384447326492).

Almost surely, 2100200221212212 is an apocalyptic number.

100200221212212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100200221212212 is an abundant number, since it is smaller than the sum of its proper divisors (185933457966828).

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

100200221212212 is a wasteful number, since it uses less digits than its factorization.

100200221212212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37140203 (or 37140192 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100200221212212 its reverse (212212122002001), we get a palindrome (312412343214213).

The spelling of 100200221212212 in words is "one hundred trillion, two hundred billion, two hundred twenty-one million, two hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 594 757 891 1188 1514 1782 2271 3028 3564 4542 6813 8327 9084 13626 16654 20439 24981 27252 33308 40878 49962 61317 74943 81756 99924 122634 149886 224829 245268 299772 449658 674487 899316 1348974 2697948 37139419 74278838 111418257 148557676 222836514 334254771 408533609 445673028 668509542 817067218 1002764313 1225600827 1337019084 1634134436 2005528626 2451201654 3008292939 3676802481 4011057252 4902403308 6016585878 7353604962 11030407443 12033171756 14707209924 22060814886 28114540183 33091222329 44121629772 56229080366 66182444658 84343620549 112458160732 132364889316 168687241098 253030861647 309259942013 337374482196 506061723294 618519884026 759092584941 927779826039 1012123446588 1237039768052 1518185169882 1855559652078 2277277754823 2783339478117 3036370339764 3711119304156 4554555509646 5566678956234 8350018434351 9109111019292 11133357912468 16700036868702 25050055303053 33400073737404 50100110606106 100200221212212