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1035052505130 = 235783199298409
BaseRepresentation
bin11110000111111011110…
…11111101100000101010
310122221122120220011220210
433003331323331200222
5113424241420131010
62111255131201550
7134531365062360
oct17037573754052
93587576804823
101035052505130
11369a661788a6
12148724ba62b6
13767b3343c37
143814d8dd630
151bdcdc18b20
hexf0fdefd82a

1035052505130 has 128 divisors (see below), whose sum is σ = 2887653888000. Its totient is φ = 232557709824.

The previous prime is 1035052505129. The next prime is 1035052505153. The reversal of 1035052505130 is 315052505301.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3319366 + ... + 3617774.

It is an arithmetic number, because the mean of its divisors is an integer number (22559796000).

Almost surely, 21035052505130 is an apocalyptic number.

1035052505130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1035052505130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443826944000).

1035052505130 is an abundant number, since it is smaller than the sum of its proper divisors (1852601382870).

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

1035052505130 is a wasteful number, since it uses less digits than its factorization.

1035052505130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298708.

The product of its (nonzero) digits is 11250, while the sum is 30.

The spelling of 1035052505130 in words is "one trillion, thirty-five billion, fifty-two million, five hundred five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 83 105 166 199 210 249 398 415 498 581 597 830 995 1162 1194 1245 1393 1743 1990 2490 2786 2905 2985 3486 4179 5810 5970 6965 8358 8715 13930 16517 17430 20895 33034 41790 49551 82585 99102 115619 165170 231238 247755 298409 346857 495510 578095 596818 693714 895227 1156190 1492045 1734285 1790454 2088863 2984090 3468570 4177726 4476135 6266589 8952270 10444315 12533178 20888630 24767947 31332945 49535894 59383391 62665890 74303841 118766782 123839735 148607682 173375629 178150173 247679470 296916955 346751258 356300346 371519205 415683737 520126887 593833910 743038410 831367474 866878145 890750865 1040253774 1247051211 1733756290 1781501730 2078418685 2494102422 2600634435 4156837370 4928821453 5201268870 6235256055 9857642906 12470512110 14786464359 24644107265 29572928718 34501750171 49288214530 69003500342 73932321795 103505250513 147864643590 172508750855 207010501026 345017501710 517526252565 1035052505130