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1030022033100 = 2235261228724611
BaseRepresentation
bin11101111110100100001…
…10001110111011001100
310122110200000011201120220
432333102012032323030
5113333441120024400
62105104030511340
7134262622552224
oct16772206167314
93573600151526
101030022033100
113679146487a5
12147760365550
13761910a6578
1437bd3789084
151bbd72937a0
hexefd218eecc

1030022033100 has 144 divisors (see below), whose sum is σ = 3030500368896. Its totient is φ = 270040608000.

The previous prime is 1030022033011. The next prime is 1030022033143. The reversal of 1030022033100 is 13302200301.

It is a super-3 number, since 3×10300220331003 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1030022033100.

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 47 ways as a sum of consecutive naturals, for example, 41839795 + ... + 41864405.

Almost surely, 21030022033100 is an apocalyptic number.

1030022033100 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 1030022033100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515250184448).

1030022033100 is an abundant number, since it is smaller than the sum of its proper divisors (2000478335796).

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

1030022033100 is a wasteful number, since it uses less digits than its factorization.

1030022033100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26976 (or 26969 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 1030022033100 its reverse (13302200301), we get a palindrome (1043324233401).

The spelling of 1030022033100 in words is "one trillion, thirty billion, twenty-two million, thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 61 75 100 122 150 183 244 300 305 366 610 732 915 1220 1525 1830 2287 3050 3660 4574 4575 6100 6861 9148 9150 11435 13722 18300 22870 24611 27444 34305 45740 49222 57175 68610 73833 98444 114350 123055 137220 139507 147666 171525 228700 246110 279014 295332 343050 369165 418521 492220 558028 615275 686100 697535 738330 837042 1230550 1395070 1476660 1501271 1674084 1845825 2092605 2461100 2790140 3002542 3487675 3691650 4185210 4503813 6005084 6975350 7383300 7506355 8370420 9007626 10463025 13950700 15012710 18015252 20926050 22519065 30025420 37531775 41852100 45038130 56285357 75063550 90076260 112570714 112595325 150127100 168856071 225141428 225190650 281426785 337712142 450381300 562853570 675424284 844280355 1125707140 1407133925 1688560710 2814267850 3377121420 3433406777 4221401775 5628535700 6866813554 8442803550 10300220331 13733627108 16885607100 17167033885 20600440662 34334067770 41200881324 51501101655 68668135540 85835169425 103002203310 171670338850 206004406620 257505508275 343340677700 515011016550 1030022033100