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1010032003020 = 2235157296336187
BaseRepresentation
bin11101011001010101001…
…10010100011111001100
310120120001212101222111110
432230222212110133030
5113022021143044040
62052000255052020
7132654351241155
oct16545246243714
93516055358443
101010032003020
1135a396809287
12143901811010
13743267ac8c1
1436c5893a92c
151b417346980
hexeb2a9947cc

1010032003020 has 96 divisors (see below), whose sum is σ = 2847142142208. Its totient is φ = 267528598272.

The previous prime is 1010032003009. The next prime is 1010032003037. The reversal of 1010032003020 is 203002300101.

It is a happy number.

It is a super-3 number, since 3×10100320030203 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1010032002987 and 1010032003005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27893367 + ... + 27929553.

It is an arithmetic number, because the mean of its divisors is an integer number (29657730648).

Almost surely, 21010032003020 is an apocalyptic number.

1010032003020 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 1010032003020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423571071104).

1010032003020 is an abundant number, since it is smaller than the sum of its proper divisors (1837110139188).

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

1010032003020 is a wasteful number, since it uses less digits than its factorization.

1010032003020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39319 (or 39317 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 1010032003020 its reverse (203002300101), we get a palindrome (1213034303121).

The spelling of 1010032003020 in words is "one trillion, ten billion, thirty-two million, three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 157 314 471 628 785 942 1570 1884 2355 2963 3140 4710 5926 8889 9420 11852 14815 17778 29630 35556 36187 44445 59260 72374 88890 108561 144748 177780 180935 217122 361870 434244 465191 542805 723740 930382 1085610 1395573 1860764 2171220 2325955 2791146 4651910 5582292 5681359 6977865 9303820 11362718 13955730 17044077 22725436 27911460 28406795 34088154 56813590 68176308 85220385 107222081 113627180 170440770 214444162 321666243 340881540 428888324 536110405 643332486 1072220810 1286664972 1608331215 2144441620 3216662430 6433324860 16833866717 33667733434 50501600151 67335466868 84169333585 101003200302 168338667170 202006400604 252508000755 336677334340 505016001510 1010032003020