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202015511340 = 2235131162715797
BaseRepresentation
bin1011110000100100010…
…0000001001100101100
3201022102210211021021120
42330021010001030230
511302211432330330
6232445445300540
720411063341236
oct2741104011454
9638383737246
10202015511340
1178746542755
123319a704750
1316085a67836
149ac5a57256
1553c539cc10
hex2f0910132c

202015511340 has 96 divisors (see below), whose sum is σ = 570347737344. Its totient is φ = 53423335680.

The previous prime is 202015511329. The next prime is 202015511359. The reversal of 202015511340 is 43115510202.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 202015511340.

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, 12780322 + ... + 12796118.

It is an arithmetic number, because the mean of its divisors is an integer number (5941122264).

Almost surely, 2202015511340 is an apocalyptic number.

202015511340 is a gapful number since it is divisible by the number (20) 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 202015511340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285173868672).

202015511340 is an abundant number, since it is smaller than the sum of its proper divisors (368332226004).

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

202015511340 is a wasteful number, since it uses less digits than its factorization.

202015511340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17567 (or 17565 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The spelling of 202015511340 in words is "two hundred two billion, fifteen million, five hundred eleven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 131 262 393 524 655 786 1310 1572 1627 1965 2620 3254 3930 4881 6508 7860 8135 9762 15797 16270 19524 24405 31594 32540 47391 48810 63188 78985 94782 97620 157970 189564 213137 236955 315940 426274 473910 639411 852548 947820 1065685 1278822 2069407 2131370 2557644 3197055 4138814 4262740 6208221 6394110 8277628 10347035 12416442 12788220 20694070 24832884 25701719 31041105 41388140 51403438 62082210 77105157 102806876 124164420 128508595 154210314 257017190 308420628 385525785 514034380 771051570 1542103140 3366925189 6733850378 10100775567 13467700756 16834625945 20201551134 33669251890 40403102268 50503877835 67338503780 101007755670 202015511340