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10021244201310 = 23547531102712161
BaseRepresentation
bin1001000111010100000010…
…1100110110100101011110
31022111000120201221111102010
42101311000230312211132
52303142002003420220
633151410202012050
72053003526153256
oct221650054664536
938430521844363
1010021244201310
113213a93109991
12115a2264a7026
13578ccb532544
1426906076c966
15125a2002b1e0
hex91d40b3695e

10021244201310 has 128 divisors (see below), whose sum is σ = 25030484158464. Its totient is φ = 2565681397760.

The previous prime is 10021244201303. The next prime is 10021244201321. The reversal of 10021244201310 is 1310244212001.

It is a super-2 number, since 2×100212442013102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 824041630 + ... + 824053790.

It is an arithmetic number, because the mean of its divisors is an integer number (195550657488).

Almost surely, 210021244201310 is an apocalyptic number.

10021244201310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10021244201310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12515242079232).

10021244201310 is an abundant number, since it is smaller than the sum of its proper divisors (15009239957154).

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

10021244201310 is a wasteful number, since it uses less digits than its factorization.

10021244201310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23298.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10021244201310 its reverse (1310244212001), we get a palindrome (11331488413311).

The spelling of 10021244201310 in words is "ten trillion, twenty-one billion, two hundred forty-four million, two hundred one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 47 53 94 106 141 159 235 265 282 318 470 530 705 795 1410 1590 2491 4982 7473 11027 12161 12455 14946 22054 24322 24910 33081 36483 37365 55135 60805 66162 72966 74730 110270 121610 165405 182415 330810 364830 518269 571567 584431 644533 1036538 1143134 1168862 1289066 1554807 1714701 1753293 1933599 2591345 2857835 2922155 3109614 3222665 3429402 3506586 3867198 5182690 5715670 5844310 6445330 7774035 8573505 8766465 9667995 15548070 17147010 17532930 19335990 27468257 30293051 54936514 60586102 82404771 90879153 134099347 137341285 151465255 164809542 181758306 268198694 274682570 302930510 402298041 412023855 454395765 670496735 804596082 824047710 908791530 1340993470 2011490205 4022980410 6302669309 7107265391 12605338618 14214530782 18908007927 21321796173 31513346545 35536326955 37816015854 42643592346 63026693090 71072653910 94540039635 106608980865 189080079270 213217961730 334041473377 668082946754 1002124420131 1670207366885 2004248840262 3340414733770 5010622100655 10021244201310