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1001112122200 = 235218127655031
BaseRepresentation
bin11101001000101101110…
…11101011001101011000
310112201001020002002100011
432210112323223031120
5112400234200402300
62043523215051304
7132220330430551
oct16442673531530
93481036062304
101001112122200
1135662976a853
12142032510b34
1373534802008
143665001d328
151b0941e3eba
hexe916eeb358

1001112122200 has 48 divisors (see below), whose sum is σ = 2340445358160. Its totient is φ = 398232432000.

The previous prime is 1001112122123. The next prime is 1001112122203. The reversal of 1001112122200 is 22212111001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001112122203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13791316 + ... + 13863715.

It is an arithmetic number, because the mean of its divisors is an integer number (48759278295).

Almost surely, 21001112122200 is an apocalyptic number.

1001112122200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001112122200 is an abundant number, since it is smaller than the sum of its proper divisors (1339333235960).

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

1001112122200 is a wasteful number, since it uses less digits than its factorization.

1001112122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27655228 (or 27655219 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1001112122200 its reverse (22212111001), we get a palindrome (1023324233201).

The spelling of 1001112122200 in words is "one trillion, one billion, one hundred twelve million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 181 200 362 724 905 1448 1810 3620 4525 7240 9050 18100 36200 27655031 55310062 110620124 138275155 221240248 276550310 553100620 691375775 1106201240 1382751550 2765503100 5005560611 5531006200 10011121222 20022242444 25027803055 40044484888 50055606110 100111212220 125139015275 200222424440 250278030550 500556061100 1001112122200