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111100022001 = 321913116330427
BaseRepresentation
bin110011101111000010…
…0111100110011110001
3101121202202021212212200
41213132010330303301
53310013101201001
6123012203013413
711012106414453
oct1473604746361
9347682255780
10111100022001
114313207aa01
121964720a269
13a6273878b7
14553d32a2d3
152d53985086
hex19de13ccf1

111100022001 has 48 divisors (see below), whose sum is σ = 171263389440. Its totient is φ = 69203328480.

The previous prime is 111100021999. The next prime is 111100022009. The reversal of 111100022001 is 100220001111.

It is a happy number.

It is not a de Polignac number, because 111100022001 - 21 = 111100021999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (111100022009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3636150 + ... + 3666576.

It is an arithmetic number, because the mean of its divisors is an integer number (3567987280).

Almost surely, 2111100022001 is an apocalyptic number.

It is an amenable number.

111100022001 is a deficient number, since it is larger than the sum of its proper divisors (60163367439).

111100022001 is a wasteful number, since it uses less digits than its factorization.

111100022001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30746 (or 30743 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 111100022001 its reverse (100220001111), we get a palindrome (211320023112).

The spelling of 111100022001 in words is "one hundred eleven billion, one hundred million, twenty-two thousand, one".

Divisors: 1 3 9 19 57 131 163 171 393 489 1179 1467 2489 3097 7467 9291 21353 22401 27873 30427 64059 91281 192177 273843 405707 578113 1217121 1734339 3651363 3985937 4959601 5203017 11957811 14878803 35873433 44636409 75732803 94232419 227198409 282697257 649707731 681595227 848091771 1949123193 5847369579 12344446889 37033340667 111100022001