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1010221123320 = 233451718340979
BaseRepresentation
bin11101011001101011101…
…11110000011011111000
310120120120001021021210000
432230311313300123320
5113022413101421240
62052031132353000
7132662135603253
oct16546567603370
93516501237700
101010221123320
1135a483540152
12143955015760
1374356a27ac6
1436c75aca09a
151b428c52430
hexeb35df06f8

1010221123320 has 160 divisors (see below), whose sum is σ = 3595198899600. Its totient is φ = 253545679872.

The previous prime is 1010221123319. The next prime is 1010221123357. The reversal of 1010221123320 is 233211220101.

1010221123320 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 221 + 123 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1010221123293 and 1010221123302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9115410 + ... + 9225569.

Almost surely, 21010221123320 is an apocalyptic number.

1010221123320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010221123320 is an abundant number, since it is smaller than the sum of its proper divisors (2584977776280).

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

1010221123320 is a wasteful number, since it uses less digits than its factorization.

1010221123320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18341019 (or 18341006 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1010221123320 its reverse (233211220101), we get a palindrome (1243432343421).

The spelling of 1010221123320 in words is "one trillion, ten billion, two hundred twenty-one million, one hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 81 85 90 102 108 120 135 136 153 162 170 180 204 216 255 270 306 324 340 360 405 408 459 510 540 612 648 680 765 810 918 1020 1080 1224 1377 1530 1620 1836 2040 2295 2754 3060 3240 3672 4590 5508 6120 6885 9180 11016 13770 18360 27540 55080 18340979 36681958 55022937 73363916 91704895 110045874 146727832 165068811 183409790 220091748 275114685 311796643 330137622 366819580 440183496 495206433 550229370 623593286 660275244 733639160 825344055 935389929 990412866 1100458740 1247186572 1320550488 1485619299 1558983215 1650688110 1870779858 1980825732 2200917480 2476032165 2494373144 2806169787 2971238598 3117966430 3301376220 3741559716 3961651464 4676949645 4952064330 5612339574 5942477196 6235932860 6602752440 7428096495 7483119432 8418509361 9353899290 9904128660 11224679148 11884954392 12471865720 14030848935 14856192990 16837018722 18707798580 19808257320 22449358296 25255528083 28061697870 29712385980 33674037444 37415597160 42092546805 50511056166 56123395740 59424771960 67348074888 84185093610 101022112332 112246791480 126277640415 168370187220 202044224664 252555280830 336740374440 505110561660 1010221123320