Search a number
-
+
112002211220200 = 23527233478329541
BaseRepresentation
bin11001011101110110001100…
…000000111000101011101000
3112200120022021200012020221121
4121131312030000320223220
5104140021012033021300
61034113034442545024
732406615130215010
oct3135661400705350
9480508250166847
10112002211220200
1132761964384494
121068a941b08174
134a659bc995242
141d92d1634cc40
15ce367b8c681a
hex65dd8c038ae8

112002211220200 has 96 divisors (see below), whose sum is σ = 310545261509760. Its totient is φ = 36731159942400.

The previous prime is 112002211220167. The next prime is 112002211220219. The reversal of 112002211220200 is 2022112200211.

It is a happy number.

It is a super-3 number, since 3×1120022112202003 (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1739132571 + ... + 1739196970.

It is an arithmetic number, because the mean of its divisors is an integer number (3234846474060).

Almost surely, 2112002211220200 is an apocalyptic number.

112002211220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112002211220200 is an abundant number, since it is smaller than the sum of its proper divisors (198543050289560).

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

112002211220200 is a wasteful number, since it uses less digits than its factorization.

112002211220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3478329587 (or 3478329578 counting only the distinct ones).

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

Adding to 112002211220200 its reverse (2022112200211), we get a palindrome (114024323420411).

The spelling of 112002211220200 in words is "one hundred twelve trillion, two billion, two hundred eleven million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 23 25 28 35 40 46 50 56 70 92 100 115 140 161 175 184 200 230 280 322 350 460 575 644 700 805 920 1150 1288 1400 1610 2300 3220 4025 4600 6440 8050 16100 32200 3478329541 6956659082 13913318164 17391647705 24348306787 27826636328 34783295410 48696613574 69566590820 80001579443 86958238525 97393227148 121741533935 139133181640 160003158886 173916477050 194786454296 243483067870 320006317772 347832954100 400007897215 486966135740 560011056101 608707669675 640012635544 695665908200 800015794430 973932271480 1120022112202 1217415339350 1600031588860 2000039486075 2240044224404 2434830678700 2800055280505 3200063177720 4000078972150 4480088448808 4869661357400 5600110561010 8000157944300 11200221122020 14000276402525 16000315888600 22400442244040 28000552805050 56001105610100 112002211220200