Search a number
-
+
1011012022120 = 235234792294209
BaseRepresentation
bin11101011011001010000…
…00110010111101101000
310120122121011111002222011
432231211000302331220
5113031023034201440
62052241424205304
7133020551252542
oct16554500627550
93518534432864
101011012022120
1135a849a25121
12143b35a69834
1374451842269
1436d0cb66692
151b4733cc9ea
hexeb65032f68

1011012022120 has 64 divisors (see below), whose sum is σ = 2378636928000. Its totient is φ = 386014261248.

The previous prime is 1011012022117. The next prime is 1011012022127. The reversal of 1011012022120 is 212202101101.

1011012022120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1011012022120.

It is not an unprimeable number, because it can be changed into a prime (1011012022127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 706425 + ... + 1587784.

It is an arithmetic number, because the mean of its divisors is an integer number (37166202000).

Almost surely, 21011012022120 is an apocalyptic number.

1011012022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011012022120 is an abundant number, since it is smaller than the sum of its proper divisors (1367624905880).

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

1011012022120 is a wasteful number, since it uses less digits than its factorization.

1011012022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2294722 (or 2294718 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1011012022120 its reverse (212202101101), we get a palindrome (1223214123221).

The spelling of 1011012022120 in words is "one trillion, eleven billion, twelve million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 479 920 958 1916 2395 3832 4790 9580 11017 19160 22034 44068 55085 88136 110170 220340 440680 2294209 4588418 9176836 11471045 18353672 22942090 45884180 52766807 91768360 105533614 211067228 263834035 422134456 527668070 1055336140 1098926111 2110672280 2197852222 4395704444 5494630555 8791408888 10989261110 21978522220 25275300553 43957044440 50550601106 101101202212 126376502765 202202404424 252753005530 505506011060 1011012022120