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1020012210 = 23357737393
BaseRepresentation
bin111100110011000…
…010011010110010
32122002022222201000
4330303002122302
54042110342320
6245114222430
734163650350
oct7463023262
92562288630
101020012210
114838522a8
12245724a16
13133426029
149967a7d0
155e835c90
hex3ccc26b2

1020012210 has 128 divisors (see below), whose sum is σ = 3151618560. Its totient is φ = 229920768.

The previous prime is 1020012187. The next prime is 1020012269. The reversal of 1020012210 is 122100201.

1020012210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

1020012210 is a modest number, since divided by 12210 gives 1020 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 1020012192 and 1020012201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 134274 + ... + 141666.

It is an arithmetic number, because the mean of its divisors is an integer number (24622020).

Almost surely, 21020012210 is an apocalyptic number.

1020012210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020012210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575809280).

1020012210 is an abundant number, since it is smaller than the sum of its proper divisors (2131606350).

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

1020012210 is a wasteful number, since it uses less digits than its factorization.

1020012210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7489 (or 7483 counting only the distinct ones).

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

The square root of 1020012210 is about 31937.6299997354. The cubic root of 1020012210 is about 1006.6267261661.

Adding to 1020012210 its reverse (122100201), we get a palindrome (1142112411).

The spelling of 1020012210 in words is "one billion, twenty million, twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 73 90 105 126 135 146 189 210 219 270 315 365 378 438 511 630 657 730 945 1022 1095 1314 1533 1890 1971 2190 2555 3066 3285 3942 4599 5110 6570 7393 7665 9198 9855 13797 14786 15330 19710 22179 22995 27594 36965 44358 45990 51751 66537 68985 73930 103502 110895 133074 137970 155253 199611 221790 258755 310506 332685 399222 465759 517510 539689 665370 776265 931518 998055 1079378 1397277 1552530 1619067 1996110 2328795 2698445 2794554 3238134 3777823 4657590 4857201 5396890 6986385 7555646 8095335 9714402 11333469 13972770 14571603 16190670 18889115 22666938 24286005 29143206 34000407 37778230 48572010 56667345 68000814 72858015 102001221 113334690 145716030 170002035 204002442 340004070 510006105 1020012210