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112100222022100 = 225213130636601159
BaseRepresentation
bin11001011111010001011101…
…111010011011000111010100
3112200220200021012210212101121
4121133101131322123013110
5104143122223314201400
61034230044150333324
732416655001251104
oct3137213572330724
9480820235725347
10112100222022100
113279a489980614
12106a593565a244
134a7200c340190
141d97973127204
15ce5eb618421a
hex65f45de9b1d4

112100222022100 has 72 divisors (see below), whose sum is σ = 261989689781120. Its totient is φ = 41387676382080.

The previous prime is 112100222022097. The next prime is 112100222022101. The reversal of 112100222022100 is 1220222001211.

It is a happy number.

It is a super-2 number, since 2×1121002220221002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112100222022101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13681321 + ... + 20282479.

Almost surely, 2112100222022100 is an apocalyptic number.

112100222022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112100222022100 is an abundant number, since it is smaller than the sum of its proper divisors (149889467759020).

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

112100222022100 is a wasteful number, since it uses less digits than its factorization.

112100222022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6614249 (or 6614242 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 112100222022100 its reverse (1220222001211), we get a palindrome (113320444023311).

The spelling of 112100222022100 in words is "one hundred twelve trillion, one hundred billion, two hundred twenty-two million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 13063 26126 52252 65315 130630 169819 261260 326575 339638 653150 679276 849095 1306300 1698190 3396380 4245475 6601159 8490950 13202318 16981900 26404636 33005795 66011590 85815067 132023180 165028975 171630134 330057950 343260268 429075335 660115900 858150670 1716301340 2145376675 4290753350 8581506700 86230940017 172461880034 344923760068 431154700085 862309400170 1121002220221 1724618800340 2155773500425 2242004440442 4311547000850 4484008880884 5605011101105 8623094001700 11210022202210 22420044404420 28025055505525 56050111011050 112100222022100