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1021121000320 = 2757197123143
BaseRepresentation
bin11101101101111111000…
…11011111001110000000
310121121200200022102002011
432312333203133032000
5113212223434002240
62101032502502304
7133526221202311
oct16667743371600
93547620272064
101021121000320
11364067203063
12145a97434994
13753a2c97975
14375cb576608
151b865b156ea
hexedbf8df380

1021121000320 has 128 divisors (see below), whose sum is σ = 2478155834880. Its totient is φ = 402263500800.

The previous prime is 1021121000197. The next prime is 1021121000329. The reversal of 1021121000320 is 230001211201.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 1021121000320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021121000329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44110669 + ... + 44133811.

It is an arithmetic number, because the mean of its divisors is an integer number (19360592460).

Almost surely, 21021121000320 is an apocalyptic number.

1021121000320 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 1021121000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239077917440).

1021121000320 is an abundant number, since it is smaller than the sum of its proper divisors (1457034834560).

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

1021121000320 is an equidigital number, since it uses as much as digits as its factorization.

1021121000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24204 (or 24192 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 1021121000320 its reverse (230001211201), we get a palindrome (1251122211521).

The spelling of 1021121000320 in words is "one trillion, twenty-one billion, one hundred twenty-one million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 32 40 64 71 80 128 142 160 284 320 355 568 640 710 971 1136 1420 1942 2272 2840 3884 4544 4855 5680 7768 9088 9710 11360 15536 19420 22720 23143 31072 38840 45440 46286 62144 68941 77680 92572 115715 124288 137882 155360 185144 231430 275764 310720 344705 370288 462860 551528 621440 689410 740576 925720 1103056 1378820 1481152 1643153 1851440 2206112 2757640 2962304 3286306 3702880 4412224 5515280 6572612 7405760 8215765 8824448 11030560 13145224 14811520 16431530 22061120 22471853 26290448 32863060 44122240 44943706 52580896 65726120 89887412 105161792 112359265 131452240 179774824 210323584 224718530 262904480 359549648 449437060 525808960 719099296 898874120 1051617920 1438198592 1595501563 1797748240 2876397184 3191003126 3595496480 6382006252 7190992960 7977507815 12764012504 14381985920 15955015630 25528025008 31910031260 51056050016 63820062520 102112100032 127640125040 204224200064 255280250080 510560500160 1021121000320