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1050153051220 = 2257132291530523
BaseRepresentation
bin11110100100000011111…
…11111110010001010100
310201101121222020101220121
433102001333332101110
5114201203140114340
62122233400241324
7135604525440160
oct17220177762124
93641558211817
101050153051220
11375405024659
1214b63a170244
137804b965200
1438b83217ca0
151c4b478e94a
hexf481ffe454

1050153051220 has 144 divisors (see below), whose sum is σ = 2823265791360. Its totient is φ = 320895364608.

The previous prime is 1050153051217. The next prime is 1050153051247. The reversal of 1050153051220 is 221503510501.

It is a super-2 number, since 2×10501530512202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79122 + ... + 1451401.

It is an arithmetic number, because the mean of its divisors is an integer number (19606012440).

Almost surely, 21050153051220 is an apocalyptic number.

1050153051220 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 1050153051220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411632895680).

1050153051220 is an abundant number, since it is smaller than the sum of its proper divisors (1773112740140).

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

1050153051220 is a wasteful number, since it uses less digits than its factorization.

1050153051220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530594 (or 1530579 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

Adding to 1050153051220 its reverse (221503510501), we get a palindrome (1271656561721).

The spelling of 1050153051220 in words is "one trillion, fifty billion, one hundred fifty-three million, fifty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 29 35 52 58 65 70 91 116 130 140 145 169 182 203 260 290 338 364 377 406 455 580 676 754 812 845 910 1015 1183 1508 1690 1820 1885 2030 2366 2639 3380 3770 4060 4732 4901 5278 5915 7540 9802 10556 11830 13195 19604 23660 24505 26390 34307 49010 52780 68614 98020 137228 171535 343070 686140 1530523 3061046 6122092 7652615 10713661 15305230 19896799 21427322 30610460 39793598 42854644 44385167 53568305 79587196 88770334 99483995 107136610 139277593 177540668 198967990 214273220 221925835 258658387 278555186 310696169 397935980 443851670 517316774 557110372 577007171 621392338 696387965 887703340 1034633548 1154014342 1242784676 1293291935 1392775930 1553480845 1810608709 2308028684 2586583870 2785551860 2885035855 3106961690 3621217418 4039050197 5173167740 5770071710 6213923380 7242434836 7501093223 8078100394 9053043545 11540143420 15002186446 16156200788 18106087090 20195250985 30004372892 36212174180 37505466115 40390501970 52507652561 75010932230 80781003940 105015305122 150021864460 210030610244 262538262805 525076525610 1050153051220