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10031334021240 = 2335731385227881
BaseRepresentation
bin1001000111111001101000…
…0110011101100001111000
31022111222121220201110022120
42101332122012131201320
52303323133002134430
633200155313521240
72053511544211020
oct221763206354170
938458556643276
1010031334021240
1132182a05a1a44
121160181573220
13579c48a0a9ac
1426973a7d2a80
15125e10c2c610
hex91f9a19d878

10031334021240 has 128 divisors (see below), whose sum is σ = 35502601605120. Its totient is φ = 2218912588800.

The previous prime is 10031334021221. The next prime is 10031334021277. The reversal of 10031334021240 is 4212043313001.

It is a happy number.

10031334021240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100313340212402 (a number of 27 digits) contains 22 as substring.

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 10031334021240.

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, 192587901 + ... + 192639980.

It is an arithmetic number, because the mean of its divisors is an integer number (277364075040).

Almost surely, 210031334021240 is an apocalyptic number.

10031334021240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10031334021240 is an abundant number, since it is smaller than the sum of its proper divisors (25471267583880).

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

10031334021240 is a wasteful number, since it uses less digits than its factorization.

10031334021240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385227933 (or 385227929 counting only the distinct ones).

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

Adding to 10031334021240 its reverse (4212043313001), we get a palindrome (14243377334241).

The spelling of 10031334021240 in words is "ten trillion, thirty-one billion, three hundred thirty-four million, twenty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 31 35 40 42 56 60 62 70 84 93 105 120 124 140 155 168 186 210 217 248 280 310 372 420 434 465 620 651 744 840 868 930 1085 1240 1302 1736 1860 2170 2604 3255 3720 4340 5208 6510 8680 13020 26040 385227881 770455762 1155683643 1540911524 1926139405 2311367286 2696595167 3081823048 3852278810 4622734572 5393190334 5778418215 7704557620 8089785501 9245469144 10786380668 11556836430 11942064311 13482975835 15409115240 16179571002 21572761336 23113672860 23884128622 26965951670 32359142004 35826192933 40448927505 46227345720 47768257244 53931903340 59710321555 64718284008 71652385866 80897855010 83594450177 95536514488 107863806680 119420643110 143304771732 161795710020 167188900354 179130964665 238841286220 250783350531 286609543464 323591420040 334377800708 358261929330 417972250885 477682572440 501566701062 668755601416 716523858660 835944501770 1003133402124 1253916752655 1433047717320 1671889003540 2006266804248 2507833505310 3343778007080 5015667010620 10031334021240