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1132202212100 = 2252411307211283
BaseRepresentation
bin10000011110011100100…
…000101011101100000100
311000020102010012122011222
4100132130200223230010
5122022222231241400
62224043154415512
7144541012004561
oct20363440535404
94006363178158
101132202212100
113a71896a5623
12163518291598
13829c649784b
143cb281a7868
151e6b7ad2185
hex1079c82bb04

1132202212100 has 72 divisors (see below), whose sum is σ = 2518740227808. Its totient is φ = 441494867200.

The previous prime is 1132202212079. The next prime is 1132202212123. The reversal of 1132202212100 is 12122022311.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5253059 + ... + 5464341.

It is an arithmetic number, because the mean of its divisors is an integer number (34982503164).

Almost surely, 21132202212100 is an apocalyptic number.

1132202212100 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 1132202212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259370113904).

1132202212100 is an abundant number, since it is smaller than the sum of its proper divisors (1386538015708).

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

1132202212100 is a wasteful number, since it uses less digits than its factorization.

1132202212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212645 (or 212638 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 1132202212100 its reverse (12122022311), we get a palindrome (1144324234411).

The spelling of 1132202212100 in words is "one trillion, one hundred thirty-two billion, two hundred two million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 1307 2050 2614 4100 5228 6535 13070 26140 32675 53587 65350 107174 130700 211283 214348 267935 422566 535870 845132 1056415 1071740 1339675 2112830 2679350 4225660 5282075 5358700 8662603 10564150 17325206 21128300 34650412 43313015 86626030 173252060 216565075 276146881 433130150 552293762 866260300 1104587524 1380734405 2761468810 5522937620 6903672025 11322022121 13807344050 22644044242 27614688100 45288088484 56610110605 113220221210 226440442420 283050553025 566101106050 1132202212100