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202031113300440 = 233517127779802043
BaseRepresentation
bin101101111011111100001000…
…101111011110100111011000
3222111022222121122122100000020
4231323330020233132213120
5202440034210001103230
61553403451232310440
760361160216441364
oct5573741057364730
9874288548570006
10202031113300440
1159411a06577276
121a7aab970a2420
1388965b5744ba8
1437c65027202a4
15185545d7a7810
hexb7bf08bde9d8

202031113300440 has 128 divisors (see below), whose sum is σ = 646799007375360. Its totient is φ = 50306589333504.

The previous prime is 202031113300417. The next prime is 202031113300487. The reversal of 202031113300440 is 44003311130202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 202031113300440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389641942 + ... + 390160101.

It is an arithmetic number, because the mean of its divisors is an integer number (5053117245120).

Almost surely, 2202031113300440 is an apocalyptic number.

202031113300440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202031113300440 is an abundant number, since it is smaller than the sum of its proper divisors (444767894074920).

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

202031113300440 is a wasteful number, since it uses less digits than its factorization.

202031113300440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779802201 (or 779802197 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 202031113300440 its reverse (44003311130202), we get a palindrome (246034424430642).

The spelling of 202031113300440 in words is "two hundred two trillion, thirty-one billion, one hundred thirteen million, three hundred thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 127 136 170 204 254 255 340 381 408 508 510 635 680 762 1016 1020 1270 1524 1905 2040 2159 2540 3048 3810 4318 5080 6477 7620 8636 10795 12954 15240 17272 21590 25908 32385 43180 51816 64770 86360 129540 259080 779802043 1559604086 2339406129 3119208172 3899010215 4678812258 6238416344 7798020430 9357624516 11697030645 13256634731 15596040860 18715249032 23394061290 26513269462 31192081720 39769904193 46788122580 53026538924 66283173655 79539808386 93576245160 99034859461 106053077848 132566347310 159079616772 198069718922 198849520965 265132694620 297104578383 318159233544 396139437844 397699041930 495174297305 530265389240 594209156766 792278875688 795398083860 990348594610 1188418313532 1485522891915 1590796167720 1683592610837 1980697189220 2376836627064 2971045783830 3367185221674 3961394378440 5050777832511 5942091567660 6734370443348 8417963054185 10101555665022 11884183135320 13468740886696 16835926108370 20203111330044 25253889162555 33671852216740 40406222660088 50507778325110 67343704433480 101015556650220 202031113300440