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110201012220112 = 24111762175924383
BaseRepresentation
bin11001000011101000101100…
…001011111111000011010000
3112110012010002000111120120021
4121003220230023333003100
5103421013133112020422
61030213351321153224
732132521546301602
oct3103505413770320
9473163060446507
10110201012220112
1132127a94511340
121043984002b814
134964bac218a38
141d2da86631172
15cb18ab97ddc7
hex643a2c2ff0d0

110201012220112 has 80 divisors (see below), whose sum is σ = 246666040791552. Its totient is φ = 47137226895360.

The previous prime is 110201012220077. The next prime is 110201012220113. The reversal of 110201012220112 is 211022210102011.

It is a super-3 number, since 3×1102010122201123 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110201012220113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15639073 + ... + 21563455.

Almost surely, 2110201012220112 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 110201012220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123333020395776).

110201012220112 is an abundant number, since it is smaller than the sum of its proper divisors (136465028571440).

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

110201012220112 is a wasteful number, since it uses less digits than its factorization.

110201012220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5930636 (or 5930630 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 110201012220112 its reverse (211022210102011), we get a palindrome (321223222322123).

The spelling of 110201012220112 in words is "one hundred ten trillion, two hundred one billion, twelve million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 136 176 187 272 374 748 1496 2992 6217 12434 24868 49736 68387 99472 105689 136774 211378 273548 422756 547096 845512 1094192 1162579 1691024 2325158 4650316 5924383 9300632 11848766 18601264 23697532 47395064 65168213 94790128 100714511 130336426 201429022 260672852 402858044 521345704 805716088 1042691408 1107859621 1611432176 2215719242 4431438484 8862876968 17725753936 36831889111 73663778222 147327556444 294655112888 405150780221 589310225776 626142114887 810301560442 1252284229774 1620603120884 2504568459548 3241206241768 5009136919096 6482412483536 6887563263757 10018273838192 13775126527514 27550253055028 55100506110056 110201012220112