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1011022002100 = 2252112897317263
BaseRepresentation
bin11101011011001011001…
…10110111011110110100
310120122121212021010221001
432231211212313132310
5113031033113031400
62052242422133044
7133021032136645
oct16554546673664
93518555233831
101011022002100
1135a854621240
12143b39281184
1374453927986
1436d102036cc
151b4741eea6a
hexeb659b77b4

1011022002100 has 72 divisors (see below), whose sum is σ = 2394198511488. Its totient is φ = 367516300800.

The previous prime is 1011022002097. The next prime is 1011022002103. The reversal of 1011022002100 is 12002201101.

It is an interprime number because it is at equal distance from previous prime (1011022002097) and next prime (1011022002103).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011022002103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3028069 + ... + 3345331.

It is an arithmetic number, because the mean of its divisors is an integer number (33252757104).

Almost surely, 21011022002100 is an apocalyptic number.

1011022002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011022002100 is an abundant number, since it is smaller than the sum of its proper divisors (1383176509388).

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

1011022002100 is a wasteful number, since it uses less digits than its factorization.

1011022002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320185 (or 320178 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1011022002100 its reverse (12002201101), we get a palindrome (1023024203201).

It can be divided in two parts, 101 and 1022002100, that added together give a palindrome (1022002201).

The spelling of 1011022002100 in words is "one trillion, eleven billion, twenty-two million, two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 2897 5794 11588 14485 28970 31867 57940 63734 72425 127468 144850 159335 289700 317263 318670 634526 637340 796675 1269052 1586315 1593350 3172630 3186700 3489893 6345260 6979786 7931575 13959572 15863150 17449465 31726300 34898930 69797860 87247325 174494650 348989300 919110911 1838221822 3676443644 4595554555 9191109110 10110220021 18382218220 20220440042 22977772775 40440880084 45955545550 50551100105 91911091100 101102200210 202204400420 252755500525 505511001050 1011022002100