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1023001322020 = 225735099771409
BaseRepresentation
bin11101110001011111010…
…00010110001000100100
310121210112201110122112121
432320233220112020210
5113230101314301040
62101543232355324
7133623632522626
oct16705750261044
93553481418477
101023001322020
11364941638637
121463210a5b44
13756126cb662
143772919ac16
151b925c37c4a
hexee2fa16224

1023001322020 has 96 divisors (see below), whose sum is σ = 2185793618400. Its totient is φ = 402104254464.

The previous prime is 1023001322003. The next prime is 1023001322047. The reversal of 1023001322020 is 202231003201.

It can be written as a sum of positive squares in 16 ways, for example, as 108851165476 + 914150156544 = 329926^2 + 956112^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1023001321985 and 1023001322003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 726047076 + ... + 726048484.

It is an arithmetic number, because the mean of its divisors is an integer number (22768683525).

Almost surely, 21023001322020 is an apocalyptic number.

1023001322020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023001322020 is an abundant number, since it is smaller than the sum of its proper divisors (1162792296380).

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

1023001322020 is a wasteful number, since it uses less digits than its factorization.

1023001322020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2977 (or 2975 counting only the distinct ones).

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

Adding to 1023001322020 its reverse (202231003201), we get a palindrome (1225232325221).

The spelling of 1023001322020 in words is "one trillion, twenty-three billion, one million, three hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 73 146 292 365 509 730 977 1018 1409 1460 1954 2036 2545 2818 3908 4885 5090 5636 7045 9770 10180 14090 19540 28180 37157 71321 74314 102857 142642 148628 185785 205714 285284 356605 371570 411428 497293 514285 713210 717181 743140 994586 1028570 1376593 1426420 1434362 1989172 2057140 2486465 2753186 2868724 3585905 4972930 5506372 6882965 7171810 9945860 13765930 14343620 27531860 36302389 52354213 72604778 100491289 104708426 145209556 181511945 200982578 209416852 261771065 363023890 401965156 502456445 523542130 700685837 726047780 1004912890 1047084260 1401371674 2009825780 2802743348 3503429185 7006858370 14013716740 51150066101 102300132202 204600264404 255750330505 511500661010 1023001322020