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1012353149360 = 245723337233231
BaseRepresentation
bin11101011101101001111…
…00110010100110110000
310120210001122001102200102
432232310330302212300
5113041244401234420
62053022453211532
7133066024534520
oct16566474624660
93523048042612
101012353149360
11360377a62943
1214424b030ba8
1374606649b87
1436dd8d11680
151b500ee3a75
hexebb4f329b0

1012353149360 has 160 divisors (see below), whose sum is σ = 2815263240192. Its totient is φ = 331014942720.

The previous prime is 1012353149351. The next prime is 1012353149363. The reversal of 1012353149360 is 639413532101.

It is a happy number.

It is a super-2 number, since 2×10123531493602 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1012353149363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4223945 + ... + 4457175.

Almost surely, 21012353149360 is an apocalyptic number.

1012353149360 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 1012353149360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407631620096).

1012353149360 is an abundant number, since it is smaller than the sum of its proper divisors (1802910090832).

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

1012353149360 is a wasteful number, since it uses less digits than its factorization.

1012353149360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233611 (or 233605 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 38.

The spelling of 1012353149360 in words is "one trillion, twelve billion, three hundred fifty-three million, one hundred forty-nine thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 56 70 80 92 112 115 140 161 184 230 280 322 337 368 460 560 644 674 805 920 1288 1348 1610 1685 1840 2359 2576 2696 3220 3370 4718 5392 6440 6740 7751 9436 11795 12880 13480 15502 18872 23590 26960 31004 37744 38755 47180 54257 62008 77510 94360 108514 124016 155020 188720 217028 233231 271285 310040 434056 466462 542570 620080 868112 932924 1085140 1166155 1632617 1865848 2170280 2332310 3265234 3731696 4340560 4664620 5364313 6530468 8163085 9329240 10728626 13060936 16326170 18658480 21457252 26121872 26821565 32652340 37550191 42914504 53643130 65304680 75100382 78598847 85829008 107286260 130609360 150200764 157197694 187750955 214572520 300401528 314395388 375501910 392994235 429145040 550191929 600803056 628790776 751003820 785988470 1100383858 1257581552 1502007640 1571976940 1807773481 2200767716 2750959645 3004015280 3143953880 3615546962 4401535432 5501919290 6287907760 7231093924 8803070864 9038867405 11003838580 12654414367 14462187848 18077734810 22007677160 25308828734 28924375696 36155469620 44015354320 50617657468 63272071835 72310939240 101235314936 126544143670 144621878480 202470629872 253088287340 506176574680 1012353149360