Search a number
-
+
1033022120020 = 2251117479576637
BaseRepresentation
bin11110000100001001110…
…10101010000001010100
310122202102002100221011021
433002010322222001110
5113411112130320040
62110321441050524
7134430152066302
oct17020472520124
93582362327137
101033022120020
11369114068480
12148259026a44
137654b7bb527
1437dd9db5272
151bd1085324a
hexf084eaa054

1033022120020 has 96 divisors (see below), whose sum is σ = 2511004769280. Its totient is φ = 352808970240.

The previous prime is 1033022119981. The next prime is 1033022120027. The reversal of 1033022120020 is 200212203301.

It is a junction number, because it is equal to n+sod(n) for n = 1033022119976 and 1033022120003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1033022120027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1503142 + ... + 2079778.

It is an arithmetic number, because the mean of its divisors is an integer number (26156299680).

Almost surely, 21033022120020 is an apocalyptic number.

1033022120020 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 1033022120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255502384640).

1033022120020 is an abundant number, since it is smaller than the sum of its proper divisors (1477982649260).

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

1033022120020 is a wasteful number, since it uses less digits than its factorization.

1033022120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577153 (or 577151 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 1033022120020 its reverse (200212203301), we get a palindrome (1233234323321).

The spelling of 1033022120020 in words is "one trillion, thirty-three billion, twenty-two million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 479 748 935 958 1870 1916 2395 3740 4790 5269 8143 9580 10538 16286 21076 26345 32572 40715 52690 81430 89573 105380 162860 179146 358292 447865 576637 895730 1153274 1791460 2306548 2883185 5766370 6343007 9802829 11532740 12686014 19605658 25372028 31715035 39211316 49014145 63430070 98028290 107831119 126860140 196056580 215662238 276209123 431324476 539155595 552418246 1078311190 1104836492 1381045615 2156622380 2762091230 3038300353 4695555091 5524182460 6076600706 9391110182 12153201412 15191501765 18782220364 23477775455 30383003530 46955550910 51651106001 60766007060 93911101820 103302212002 206604424004 258255530005 516511060010 1033022120020