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1010022012020 = 2257411399125777
BaseRepresentation
bin11101011001010100000…
…00001101010001110100
310120120001011121101102102
432230222000031101310
5113022011113341040
62051555301001232
7132654200306660
oct16545200152164
93516034541372
101010022012020
1135a39110495a
121438ba3b3218
13743246c2178
1436c574998a0
151b416521515
hexeb2a00d474

1010022012020 has 96 divisors (see below), whose sum is σ = 2484970790400. Its totient is φ = 337602908160.

The previous prime is 1010022012017. The next prime is 1010022012053. The reversal of 1010022012020 is 202102200101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1010022011992 and 1010022012010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7967372 + ... + 8093148.

It is an arithmetic number, because the mean of its divisors is an integer number (25885112400).

Almost surely, 21010022012020 is an apocalyptic number.

1010022012020 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 1010022012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242485395200).

1010022012020 is an abundant number, since it is smaller than the sum of its proper divisors (1474948778380).

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

1010022012020 is a wasteful number, since it uses less digits than its factorization.

1010022012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127233 (or 127231 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1010022012020 its reverse (202102200101), we get a palindrome (1212124212121).

The spelling of 1010022012020 in words is "one trillion, ten billion, twenty-two million, twelve thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 205 287 410 574 820 1148 1399 1435 2798 2870 5596 5740 6995 9793 13990 19586 27980 39172 48965 57359 97930 114718 125777 195860 229436 251554 286795 401513 503108 573590 628885 803026 880439 1147180 1257770 1606052 1760878 2007565 2515540 3521756 4015130 4402195 5156857 8030260 8804390 10313714 17608780 20627428 25784285 36097999 51568570 72195998 103137140 144391996 175962023 180489995 351924046 360979990 703848092 721959980 879810115 1231734161 1759620230 2463468322 3519240460 4926936644 6158670805 7214442943 12317341610 14428885886 24634683220 28857771772 36072214715 50501100601 72144429430 101002201202 144288858860 202004402404 252505503005 505011006010 1010022012020