Search a number
-
+
1021427332350 = 235229316774143
BaseRepresentation
bin11101101110100011101…
…00000011010011111110
310121122111000201200121220
432313101310003103332
5113213340344113400
62101123124334210
7133536631033515
oct16672164032376
93548430650556
101021427332350
11364204111927
12145b61b44366
13754215a1919
143761a11767c
151b8829757a0
hexedd1d034fe

1021427332350 has 96 divisors (see below), whose sum is σ = 2621352222720. Its totient is φ = 262901600640.

The previous prime is 1021427332271. The next prime is 1021427332361. The reversal of 1021427332350 is 532337241201.

It is a congruent number.

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, 13739379 + ... + 13813521.

It is an arithmetic number, because the mean of its divisors is an integer number (27305752320).

Almost surely, 21021427332350 is an apocalyptic number.

1021427332350 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 1021427332350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310676111360).

1021427332350 is an abundant number, since it is smaller than the sum of its proper divisors (1599924890370).

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

1021427332350 is a wasteful number, since it uses less digits than its factorization.

1021427332350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77354 (or 77349 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The spelling of 1021427332350 in words is "one trillion, twenty-one billion, four hundred twenty-seven million, three hundred thirty-two thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 29 30 50 58 75 87 145 150 174 290 435 725 870 1450 2175 3167 4350 6334 9501 15835 19002 31670 47505 74143 79175 91843 95010 148286 158350 183686 222429 237525 275529 370715 444858 459215 475050 551058 741430 918430 1112145 1377645 1853575 2150147 2224290 2296075 2755290 3707150 4300294 4592150 5560725 6450441 6888225 10750735 11121450 12900882 13776450 21501470 32252205 53753675 64504410 107507350 161261025 234810881 322522050 469621762 704432643 1174054405 1408865286 2348108810 3522163215 5870272025 6809515549 7044326430 11740544050 13619031098 17610816075 20428546647 34047577745 35221632150 40857093294 68095155490 102142733235 170237888725 204285466470 340475777450 510713666175 1021427332350