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100110022000212 = 223737304910564261
BaseRepresentation
bin10110110000110010101110…
…010011001011111001010100
3111010110102110120010020021110
4112300302232103023321110
5101110200311113001322
6552525524220015020
730041465445542250
oct2660625623137124
9433412416106243
10100110022000212
1129997470613384
12b289bab991470
1343b2447076813
141aa14cacc1260
15b891587b0c0c
hex5b0cae4cbe54

100110022000212 has 96 divisors (see below), whose sum is σ = 274265144339200. Its totient is φ = 27820682910720.

The previous prime is 100110022000189. The next prime is 100110022000237. The reversal of 100110022000212 is 212000220011001.

100110022000212 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4194162 + ... + 14758422.

Almost surely, 2100110022000212 is an apocalyptic number.

100110022000212 is a gapful number since it is divisible by the number (12) 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 100110022000212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137132572169600).

100110022000212 is an abundant number, since it is smaller than the sum of its proper divisors (174155122338988).

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

100110022000212 is a wasteful number, since it uses less digits than its factorization.

100110022000212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10567361 (or 10567359 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100110022000212 its reverse (212000220011001), we get a palindrome (312110242011213).

The spelling of 100110022000212 in words is "one hundred trillion, one hundred ten billion, twenty-two million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 111 148 222 259 444 518 777 1036 1554 3049 3108 6098 9147 12196 18294 21343 36588 42686 64029 85372 112813 128058 225626 256116 338439 451252 676878 789691 1353756 1579382 2369073 3158764 4738146 9476292 10564261 21128522 31692783 42257044 63385566 73949827 126771132 147899654 221849481 295799308 390877657 443698962 781755314 887397924 1172632971 1563510628 2345265942 2736143599 4690531884 5472287198 8208430797 10944574396 16416861594 32210431789 32833723188 64420863578 96631295367 128841727156 193262590734 225473022523 386525181468 450946045046 676419067569 901892090092 1191785976193 1352838135138 2383571952386 2705676270276 3575357928579 4767143904772 7150715857158 8342501833351 14301431714316 16685003666702 25027505500053 33370007333404 50055011000106 100110022000212