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1021022000100 = 2232521517513039
BaseRepresentation
bin11101101101110011010…
…01110101001111100100
310121121102210000200022100
432312321221311033210
5113212023113000400
62101015004532100
7133523606543034
oct16667151651744
93547383020270
101021022000100
113640163347a3
12145a6a251030
137538861425b
14375bc3658c4
151b85c0ac100
hexedb9a753e4

1021022000100 has 108 divisors (see below), whose sum is σ = 3221531447680. Its totient is φ = 270469368000.

The previous prime is 1021022000069. The next prime is 1021022000129. The reversal of 1021022000100 is 10002201201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3620620 + ... + 3892419.

Almost surely, 21021022000100 is an apocalyptic number.

1021022000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021022000100 is an abundant number, since it is smaller than the sum of its proper divisors (2200509447580).

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

1021022000100 is a wasteful number, since it uses less digits than its factorization.

1021022000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7513210 (or 7513200 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1021022000100 its reverse (10002201201), we get a palindrome (1031024201301).

The spelling of 1021022000100 in words is "one trillion, twenty-one billion, twenty-two million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 151 180 225 300 302 450 453 604 755 900 906 1359 1510 1812 2265 2718 3020 3775 4530 5436 6795 7550 9060 11325 13590 15100 22650 27180 33975 45300 67950 135900 7513039 15026078 22539117 30052156 37565195 45078234 67617351 75130390 90156468 112695585 135234702 150260780 187825975 225391170 270469404 338086755 375651950 450782340 563477925 676173510 751303900 1126955850 1134468889 1352347020 1690433775 2253911700 2268937778 3380867550 3403406667 4537875556 5672344445 6761735100 6806813334 10210220001 11344688890 13613626668 17017033335 20420440002 22689377780 28361722225 34034066670 40840880004 51051100005 56723444450 68068133340 85085166675 102102200010 113446888900 170170333350 204204400020 255255500025 340340666700 510511000050 1021022000100