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1122513196734 = 23453373350503
BaseRepresentation
bin10000010101011011000…
…000000001011010111110
310222022101212121122210000
4100111123000001122332
5121342401334243414
62215401521255130
7144045631512426
oct20253300013276
93868355548700
101122513196734
113a3067487a06
121616734944a6
1381b11052c67
143c489477486
151e2ec1a2b09
hex1055b0016be

1122513196734 has 80 divisors (see below), whose sum is σ = 2569596698592. Its totient is φ = 366125977152.

The previous prime is 1122513196733. The next prime is 1122513196757. The reversal of 1122513196734 is 4376913152211.

1122513196734 is a `hidden beast` number, since 1 + 12 + 2 + 513 + 1 + 96 + 7 + 34 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1122513196734.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122513196733) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 3027327 + ... + 3377829.

Almost surely, 21122513196734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122513196734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284798349296).

1122513196734 is an abundant number, since it is smaller than the sum of its proper divisors (1447083501858).

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

1122513196734 is a wasteful number, since it uses less digits than its factorization.

1122513196734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350943 (or 350934 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The spelling of 1122513196734 in words is "one trillion, one hundred twenty-two billion, five hundred thirteen million, one hundred ninety-six thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 53 54 81 106 159 162 318 373 477 746 954 1119 1431 2238 2862 3357 4293 6714 8586 10071 19769 20142 30213 39538 59307 60426 118614 177921 350503 355842 533763 701006 1051509 1067526 1601289 2103018 3154527 3202578 6309054 9463581 18576659 18927162 28390743 37153318 55729977 56781486 111459954 130737619 167189931 261475238 334379862 392212857 501569793 784425714 1003139586 1176638571 1504709379 2353277142 3009418758 3529915713 6929093807 7059831426 10589747139 13858187614 20787281421 21179494278 41574562842 62361844263 124723688526 187085532789 374171065578 561256598367 1122513196734