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10312203440 = 24571110316253
BaseRepresentation
bin10011001101010011…
…11011110010110000
3222121200020012201202
421212221323302300
5132104411002230
64423134150332
7513355166030
oct114651736260
928550205652
1010312203440
114411a74090
121bb96523a8
13c8459ba36
146db7d18c0
154054cca45
hex266a7bcb0

10312203440 has 160 divisors (see below), whose sum is σ = 30184068096. Its totient is φ = 3182791680.

The previous prime is 10312203427. The next prime is 10312203487. The reversal of 10312203440 is 4430221301.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 626354 + ... + 642606.

Almost surely, 210312203440 is an apocalyptic number.

10312203440 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 10312203440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15092034048).

10312203440 is an abundant number, since it is smaller than the sum of its proper divisors (19871864656).

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

10312203440 is a wasteful number, since it uses less digits than its factorization.

10312203440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16387 (or 16381 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10312203440 its reverse (4430221301), we get a palindrome (14742424741).

The spelling of 10312203440 in words is "ten billion, three hundred twelve million, two hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 103 110 112 140 154 176 206 220 280 308 385 412 440 515 560 616 721 770 824 880 1030 1133 1232 1442 1540 1648 2060 2266 2884 3080 3605 4120 4532 5665 5768 6160 7210 7931 8240 9064 11330 11536 14420 15862 16253 18128 22660 28840 31724 32506 39655 45320 57680 63448 65012 79310 81265 90640 113771 126896 130024 158620 162530 178783 227542 260048 317240 325060 357566 455084 568855 634480 650120 715132 893915 910168 1137710 1251481 1300240 1430264 1674059 1787830 1820336 2275420 2502962 2860528 3348118 3575660 4550840 5005924 6257405 6696236 7151320 8370295 9101680 10011848 11718413 12514810 13392472 14302640 16740590 18414649 20023696 23436826 25029620 26784944 33481180 36829298 46873652 50059240 58592065 66962360 73658596 92073245 93747304 100118480 117184130 128902543 133924720 147317192 184146490 187494608 234368260 257805086 294634384 368292980 468736520 515610172 644512715 736585960 937473040 1031220344 1289025430 1473171920 2062440688 2578050860 5156101720 10312203440