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113421144442100 = 225211225057374093
BaseRepresentation
bin11001110010011111101011…
…000001100100010011110100
3112212120221210120101101020012
4121302133223001210103310
5104331243000434121400
61041120542054155352
732614256456463515
oct3162375301442364
9485527716341205
10113421144442100
1133159701177600
121087993b952b58
134b3974cc586a1
1420018812aca0c
15d1a526cced35
hex6727eb0644f4

113421144442100 has 108 divisors (see below), whose sum is σ = 270544383512172. Its totient is φ = 41242296268800.

The previous prime is 113421144442097. The next prime is 113421144442181. The reversal of 113421144442100 is 1244441124311.

It can be written as a sum of positive squares in 6 ways, for example, as 28693206412816 + 84727938029284 = 5356604^2 + 9204778^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 303002654 + ... + 303376746.

Almost surely, 2113421144442100 is an apocalyptic number.

113421144442100 is a gapful number since it is divisible by the number (10) 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 113421144442100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135272191756086).

113421144442100 is an abundant number, since it is smaller than the sum of its proper divisors (157123239070072).

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

113421144442100 is a wasteful number, since it uses less digits than its factorization.

113421144442100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399186 (or 399168 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

Adding to 113421144442100 its reverse (1244441124311), we get a palindrome (114665585566411).

The spelling of 113421144442100 in words is "one hundred thirteen trillion, four hundred twenty-one billion, one hundred forty-four million, four hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 6050 12100 25057 50114 100228 125285 250570 275627 374093 501140 551254 626425 748186 1102508 1252850 1378135 1496372 1870465 2505700 2756270 3031897 3740930 4115023 5512540 6063794 6890675 7481860 8230046 9352325 12127588 13781350 15159485 16460092 18704650 20575115 27562700 30318970 37409300 41150230 45265253 60637940 75797425 82300460 90530506 102875575 151594850 181061012 205751150 226326265 303189700 411502300 452652530 905305060 1131631325 2263262650 4526525300 9373648301 18747296602 37494593204 46868241505 93736483010 103110131311 187472966020 206220262622 234341207525 412440525244 468682415050 515550656555 937364830100 1031101313110 1134211444421 2062202626220 2268422888842 2577753282775 4536845777684 5155506565550 5671057222105 10311013131100 11342114444210 22684228888420 28355286110525 56710572221050 113421144442100