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1001020011192 = 2332432331387669
BaseRepresentation
bin11101001000100010111…
…00010011001010111000
310112200210210202100210100
432210101130103022320
5112400042110324232
62043510124515400
7132215131463415
oct16442134231270
93480723670710
101001020011192
11356591777453
121420076abb60
137351b6c1266
1436641ac310c
151b08b09bc7c
hexe9117132b8

1001020011192 has 96 divisors (see below), whose sum is σ = 2786052812400. Its totient is φ = 324514487808.

The previous prime is 1001020011191. The next prime is 1001020011203. The reversal of 1001020011192 is 2911100201001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001020011191) 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, 27534 + ... + 1415202.

Almost surely, 21001020011192 is an apocalyptic number.

1001020011192 is a gapful number since it is divisible by the number (12) 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 1001020011192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393026406200).

1001020011192 is an abundant number, since it is smaller than the sum of its proper divisors (1785032801208).

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

1001020011192 is a wasteful number, since it uses less digits than its factorization.

1001020011192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387957 (or 1387950 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 1001020011192 its reverse (2911100201001), we get a palindrome (3912120212193).

The spelling of 1001020011192 in words is "one trillion, one billion, twenty million, eleven thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 233 258 344 387 466 516 699 774 932 1032 1398 1548 1864 2097 2796 3096 4194 5592 8388 10019 16776 20038 30057 40076 60114 80152 90171 120228 180342 240456 360684 721368 1387669 2775338 4163007 5550676 8326014 11101352 12489021 16652028 24978042 33304056 49956084 59669767 99912168 119339534 179009301 238679068 323326877 358018602 477358136 537027903 646653754 716037204 969980631 1074055806 1293307508 1432074408 1939961262 2148111612 2586615016 2909941893 3879922524 4296223224 5819883786 7759845048 11639767572 13903055711 23279535144 27806111422 41709167133 55612222844 83418334266 111224445688 125127501399 166836668532 250255002798 333673337064 500510005596 1001020011192