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1060224622820 = 22511103137341521
BaseRepresentation
bin11110110110110100100…
…11111110000011100100
310202100121212200020210222
433123122103332003210
5114332320000412240
62131021021103512
7136412232412526
oct17333223760344
93670555606728
101060224622820
11379703183450
1215158b0b7b98
1378c9542162c
143945aa8ba16
151c8a3a88eb5
hexf6da4fe0e4

1060224622820 has 96 divisors (see below), whose sum is σ = 2470367966976. Its totient is φ = 379005235200.

The previous prime is 1060224622817. The next prime is 1060224622843. The reversal of 1060224622820 is 282264220601.

It is a super-2 number, since 2×10602246228202 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2933660 + ... + 3275180.

It is an arithmetic number, because the mean of its divisors is an integer number (25732999656).

Almost surely, 21060224622820 is an apocalyptic number.

1060224622820 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 1060224622820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235183983488).

1060224622820 is an abundant number, since it is smaller than the sum of its proper divisors (1410143344156).

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

1060224622820 is a wasteful number, since it uses less digits than its factorization.

1060224622820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341781 (or 341779 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The spelling of 1060224622820 in words is "one trillion, sixty billion, two hundred twenty-four million, six hundred twenty-two thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 103 110 137 206 220 274 412 515 548 685 1030 1133 1370 1507 2060 2266 2740 3014 4532 5665 6028 7535 11330 14111 15070 22660 28222 30140 56444 70555 141110 155221 282220 310442 341521 620884 683042 776105 1366084 1552210 1707605 3104420 3415210 3756731 6830420 7513462 15026924 18783655 35176663 37567310 46788377 70353326 75134620 93576754 140706652 175883315 187153508 233941885 351766630 386943293 467883770 514672147 703533260 773886586 935767540 1029344294 1547773172 1934716465 2058688588 2573360735 3869432930 4819202831 5146721470 7738865860 9638405662 10293442940 19276811324 24096014155 48192028310 53011231141 96384056620 106022462282 212044924564 265056155705 530112311410 1060224622820