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10313022009990 = 2357613072622397
BaseRepresentation
bin1001011000010011000000…
…0000110111001010000110
31100111220201020100221001210
42112010300000313022012
52322432032113304430
633533423101032250
72113043204464440
oct226046000671206
940456636327053
1010313022009990
113316801079147
1211a6896255686
1359a68aa9408b
1427921d8c9490
1512d3ea9502b0
hex96130037286

10313022009990 has 128 divisors (see below), whose sum is σ = 28844531831808. Its totient is φ = 2311065146880.

The previous prime is 10313022009989. The next prime is 10313022009991. The reversal of 10313022009990 is 9990022031301.

It is an interprime number because it is at equal distance from previous prime (10313022009989) and next prime (10313022009991).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10313022009991) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2621472 + ... + 5243868.

It is an arithmetic number, because the mean of its divisors is an integer number (225347904936).

Almost surely, 210313022009990 is an apocalyptic number.

10313022009990 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 10313022009990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14422265915904).

10313022009990 is an abundant number, since it is smaller than the sum of its proper divisors (18531509821818).

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

10313022009990 is a wasteful number, since it uses less digits than its factorization.

10313022009990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2622782.

The product of its (nonzero) digits is 26244, while the sum is 39.

The spelling of 10313022009990 in words is "ten trillion, three hundred thirteen billion, twenty-two million, nine thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 61 70 105 122 183 210 305 307 366 427 610 614 854 915 921 1281 1535 1830 1842 2135 2149 2562 3070 4270 4298 4605 6405 6447 9210 10745 12810 12894 18727 21490 32235 37454 56181 64470 93635 112362 131089 187270 262178 280905 393267 561810 655445 786534 1310890 1966335 2622397 3932670 5244794 7867191 13111985 15734382 18356779 26223970 36713558 39335955 55070337 78671910 91783895 110140674 159966217 183567790 275351685 319932434 479898651 550703370 799831085 805075879 959797302 1119763519 1599662170 1610151758 2239527038 2399493255 2415227637 3359290557 4025379395 4798986510 4830455274 5598817595 5635531153 6718581114 8050758790 11197635190 11271062306 12076138185 16796452785 16906593459 24152276370 28177655765 33592905570 33813186918 49109628619 56355311530 84532967295 98219257238 147328885857 169065934590 245548143095 294657771714 343767400333 491096286190 687534800666 736644429285 1031302200999 1473288858570 1718837001665 2062604401998 3437674003330 5156511004995 10313022009990