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1012011112020 = 223543691567659
BaseRepresentation
bin11101011101000001001…
…00000001011001010100
310120202011210110010122210
432232200210001121110
5113040044321041040
62052524514153420
7133054402343226
oct16564044013124
93522153403583
101012011112020
11360211987157
12144174582870
137458082110c
1436da5718416
151b4d0e7e480
hexeba0901654

1012011112020 has 96 divisors (see below), whose sum is σ = 2903730762240. Its totient is φ = 263211661440.

The previous prime is 1012011112001. The next prime is 1012011112043. The reversal of 1012011112020 is 202111102101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1012011111987 and 1012011112005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1498951 + ... + 2066609.

It is an arithmetic number, because the mean of its divisors is an integer number (30247195440).

Almost surely, 21012011112020 is an apocalyptic number.

1012011112020 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 1012011112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451865381120).

1012011112020 is an abundant number, since it is smaller than the sum of its proper divisors (1891719650220).

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

1012011112020 is a wasteful number, since it uses less digits than its factorization.

1012011112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568405 (or 568403 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1012011112020 its reverse (202111102101), we get a palindrome (1214122214121).

The spelling of 1012011112020 in words is "one trillion, twelve billion, eleven million, one hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 691 860 1290 1382 2073 2580 2764 3455 4146 6910 8292 10365 13820 20730 29713 41460 59426 89139 118852 148565 178278 297130 356556 445695 567659 594260 891390 1135318 1702977 1782780 2270636 2838295 3405954 5676590 6811908 8514885 11353180 17029770 24409337 34059540 48818674 73228011 97637348 122046685 146456022 244093370 292912044 366140055 392252369 488186740 732280110 784504738 1176757107 1464560220 1569009476 1961261845 2353514214 3922523690 4707028428 5883785535 7845047380 11767571070 16866851867 23535142140 33733703734 50600555601 67467407468 84334259335 101201111202 168668518670 202402222404 253002778005 337337037340 506005556010 1012011112020