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1010120222020 = 2257131693327827
BaseRepresentation
bin11101011001011111101…
…10110110010101000100
310120120022000101222012211
432230233312312111010
5113022211234101040
62052013125553204
7132656502135340
oct16545766662504
93516260358184
101010120222020
1135a431593548
12143927275804
137433bb59cb0
1436c66542620
151b41ee708ea
hexeb2fdb6544

1010120222020 has 96 divisors (see below), whose sum is σ = 2612322332928. Its totient is φ = 319496596992.

The previous prime is 1010120221993. The next prime is 1010120222063. The reversal of 1010120222020 is 202220210101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

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 31 ways as a sum of consecutive naturals, for example, 2917347 + ... + 3245173.

It is an arithmetic number, because the mean of its divisors is an integer number (27211690968).

Almost surely, 21010120222020 is an apocalyptic number.

1010120222020 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 1010120222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306161166464).

1010120222020 is an abundant number, since it is smaller than the sum of its proper divisors (1602202110908).

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

1010120222020 is a wasteful number, since it uses less digits than its factorization.

1010120222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329549 (or 329547 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1010120222020 its reverse (202220210101), we get a palindrome (1212340432121).

The spelling of 1010120222020 in words is "one trillion, ten billion, one hundred twenty million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1693 1820 3386 6772 8465 11851 16930 22009 23702 33860 44018 47404 59255 88036 110045 118510 154063 220090 237020 308126 327827 440180 616252 655654 770315 1311308 1540630 1639135 2294789 3081260 3278270 4261751 4589578 6556540 8523502 9179156 11473945 17047004 21308755 22947890 29832257 42617510 45895780 59664514 85235020 119329028 149161285 298322570 555011111 596645140 1110022222 2220044444 2775055555 3885077777 5550111110 7215144443 7770155554 11100222220 14430288886 15540311108 19425388885 28860577772 36075722215 38850777770 50506011101 72151444430 77701555540 101012022202 144302888860 202024044404 252530055505 505060111010 1010120222020