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1011422240200 = 2352103167294001
BaseRepresentation
bin11101011011111010111…
…01101001110111001000
310120200122202101100101101
432231331131221313020
5113032343043141300
62052350240431144
7133033662122611
oct16557535516710
93520582340341
101011422240200
1135aa3a53a029
1214402b3184b4
13744b8820758
1436d4b42ac08
151b49940db6a
hexeb7d769dc8

1011422240200 has 96 divisors (see below), whose sum is σ = 2388613368960. Its totient is φ = 398240640000.

The previous prime is 1011422240173. The next prime is 1011422240203. The reversal of 1011422240200 is 20422241101.

It is not an unprimeable number, because it can be changed into a prime (1011422240203) 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, 3293200 + ... + 3587200.

It is an arithmetic number, because the mean of its divisors is an integer number (24881389260).

Almost surely, 21011422240200 is an apocalyptic number.

1011422240200 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 1011422240200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194306684480).

1011422240200 is an abundant number, since it is smaller than the sum of its proper divisors (1377191128760).

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

1011422240200 is a wasteful number, since it uses less digits than its factorization.

1011422240200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294287 (or 294278 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 1011422240200 its reverse (20422241101), we get a palindrome (1031844481301).

Subtracting from 1011422240200 its reverse (20422241101), we obtain a palindrome (990999999099).

The spelling of 1011422240200 in words is "one trillion, eleven billion, four hundred twenty-two million, two hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 103 167 200 206 334 412 515 668 824 835 1030 1336 1670 2060 2575 3340 4120 4175 5150 6680 8350 10300 16700 17201 20600 33400 34402 68804 86005 137608 172010 294001 344020 430025 588002 688040 860050 1176004 1470005 1720100 2352008 2940010 3440200 5880020 7350025 11760040 14700050 29400100 30282103 49098167 58800200 60564206 98196334 121128412 151410515 196392668 242256824 245490835 302821030 392785336 490981670 605642060 757052575 981963340 1211284120 1227454175 1514105150 1963926680 2454908350 3028210300 4909816700 5057111201 6056420600 9819633400 10114222402 20228444804 25285556005 40456889608 50571112010 101142224020 126427780025 202284448040 252855560050 505711120100 1011422240200