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1012055000 = 23541118401
BaseRepresentation
bin111100010100101…
…011101111011000
32121112100201110112
4330110223233120
54033041230000
6244231503452
734036216445
oct7424535730
92545321415
101012055000
1147a3079a0
12242b27b88
1313189b218
14985a89cc
155dcb3235
hex3c52bbd8

1012055000 has 80 divisors (see below), whose sum is σ = 2586953160. Its totient is φ = 368000000.

The previous prime is 1012054997. The next prime is 1012055003. The reversal of 1012055000 is 5502101.

It is an interprime number because it is at equal distance from previous prime (1012054997) and next prime (1012055003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012055003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 45800 + ... + 64200.

Almost surely, 21012055000 is an apocalyptic number.

1012055000 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 1012055000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293476580).

1012055000 is an abundant number, since it is smaller than the sum of its proper divisors (1574898160).

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

1012055000 is a wasteful number, since it uses less digits than its factorization.

1012055000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18438 (or 18419 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 14.

The square root of 1012055000 is about 31812.8118845222. The cubic root of 1012055000 is about 1004.0022936091.

Adding to 1012055000 its reverse (5502101), we get a palindrome (1017557101).

The spelling of 1012055000 in words is "one billion, twelve million, fifty-five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 625 1000 1100 1250 1375 2200 2500 2750 5000 5500 6875 11000 13750 18401 27500 36802 55000 73604 92005 147208 184010 202411 368020 404822 460025 736040 809644 920050 1012055 1619288 1840100 2024110 2300125 3680200 4048220 4600250 5060275 8096440 9200500 10120550 11500625 18401000 20241100 23001250 25301375 40482200 46002500 50602750 92005000 101205500 126506875 202411000 253013750 506027500 1012055000