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10311021210120 = 23351036343131519
BaseRepresentation
bin1001011000001011100011…
…0000011010101000001000
31100111201112210111202121220
42112002320300122220020
52322413432412210440
633532452345002040
72112642501121611
oct226027060325010
940451483452556
1010311021210120
113315974735634
1211a6418183320
1359a42c3c9927
142790adca2c08
1512d32ee808d0
hex960b8c1aa08

10311021210120 has 128 divisors (see below), whose sum is σ = 31238546227200. Its totient is φ = 2722460477184.

The previous prime is 10311021210107. The next prime is 10311021210163. The reversal of 10311021210120 is 2101212011301.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10311021210120.

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, 78333721 + ... + 78465239.

It is an arithmetic number, because the mean of its divisors is an integer number (244051142400).

Almost surely, 210311021210120 is an apocalyptic number.

10311021210120 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 10311021210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15619273113600).

10311021210120 is an abundant number, since it is smaller than the sum of its proper divisors (20927525017080).

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

10311021210120 is a wasteful number, since it uses less digits than its factorization.

10311021210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137979 (or 137975 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 10311021210120 its reverse (2101212011301), we get a palindrome (12412233221421).

The spelling of 10311021210120 in words is "ten trillion, three hundred eleven billion, twenty-one million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 103 120 206 309 412 515 618 824 1030 1236 1545 2060 2472 3090 4120 6180 6343 12360 12686 19029 25372 31715 38058 50744 63430 76116 95145 126860 131519 152232 190290 253720 263038 380580 394557 526076 653329 657595 761160 789114 1052152 1306658 1315190 1578228 1959987 1972785 2613316 2630380 3156456 3266645 3919974 3945570 5226632 5260760 6533290 7839948 7891140 9799935 13066580 13546457 15679896 15782280 19599870 26133160 27092914 39199740 40639371 54185828 67732285 78399480 81278742 108371656 135464570 162557484 203196855 270929140 325114968 406393710 541858280 812787420 834225017 1625574840 1668450034 2502675051 3336900068 4171125085 5005350102 6673800136 8342250170 10010700204 12513375255 16684500340 20021400408 25026750510 33369000680 50053501020 85925176751 100107002040 171850353502 257775530253 343700707004 429625883755 515551060506 687401414008 859251767510 1031102121012 1288877651265 1718503535020 2062204242024 2577755302530 3437007070040 5155510605060 10311021210120