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11600020120 = 23513413491559
BaseRepresentation
bin10101100110110101…
…00100001010011000
31002221102111002002211
422303122210022120
5142224101120440
65155020404504
7560313354433
oct126332441230
932842432084
1011600020120
114a129aa897
1222b89a6734
13112b32c440
147c086081a
1547d5b2eea
hex2b36a4298

11600020120 has 128 divisors (see below), whose sum is σ = 28894320000. Its totient is φ = 4163973120.

The previous prime is 11600020093. The next prime is 11600020139. The reversal of 11600020120 is 2102000611.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 11600020120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7439901 + ... + 7441459.

It is an arithmetic number, because the mean of its divisors is an integer number (225736875).

Almost surely, 211600020120 is an apocalyptic number.

11600020120 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 11600020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14447160000).

11600020120 is an abundant number, since it is smaller than the sum of its proper divisors (17294299880).

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

11600020120 is a wasteful number, since it uses less digits than its factorization.

11600020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 11600020120 its reverse (2102000611), we get a palindrome (13702020731).

The spelling of 11600020120 in words is "eleven billion, six hundred million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 41 52 65 82 104 130 164 205 260 328 349 410 520 533 698 820 1066 1396 1559 1640 1745 2132 2665 2792 3118 3490 4264 4537 5330 6236 6980 7795 9074 10660 12472 13960 14309 15590 18148 20267 21320 22685 28618 31180 36296 40534 45370 57236 62360 63919 71545 81068 90740 101335 114472 127838 143090 162136 181480 186017 202670 255676 286180 319595 372034 405340 511352 544091 572360 639190 744068 810680 830947 930085 1088182 1278380 1488136 1661894 1860170 2176364 2556760 2720455 3323788 3720340 4154735 4352728 5440910 6647576 7073183 7440680 8309470 10881820 14146366 16618940 21763640 22307731 28292732 33237880 35365915 44615462 56585464 70731830 89230924 111538655 141463660 178461848 223077310 282927320 290000503 446154620 580001006 892309240 1160002012 1450002515 2320004024 2900005030 5800010060 11600020120