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1012230120 = 2335117571013
BaseRepresentation
bin111100010101010…
…110011111101000
32121112200121200110
4330111112133220
54033112330440
6244235334320
734040546136
oct7425263750
92545617613
101012230120
1147a417520
12242bb13a0
1313192cb45
1498612756
155dcea080
hex3c5567e8

1012230120 has 128 divisors (see below), whose sum is σ = 3320403840. Its totient is φ = 244823040.

The previous prime is 1012230113. The next prime is 1012230169. The reversal of 1012230120 is 210322101.

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 = 1012230096 and 1012230105.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 998734 + ... + 999746.

It is an arithmetic number, because the mean of its divisors is an integer number (25940655).

Almost surely, 21012230120 is an apocalyptic number.

1012230120 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 1012230120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660201920).

1012230120 is an abundant number, since it is smaller than the sum of its proper divisors (2308173720).

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

1012230120 is a wasteful number, since it uses less digits than its factorization.

1012230120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795 (or 1791 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1012230120 is about 31815.5641156966. The cubic root of 1012230120 is about 1004.0601991385.

Adding to 1012230120 its reverse (210322101), we get a palindrome (1222552221).

It can be divided in two parts, 1012 and 230120, that added together give a palindrome (231132).

The spelling of 1012230120 in words is "one billion, twelve million, two hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 757 1013 1320 1514 2026 2271 3028 3039 3785 4052 4542 5065 6056 6078 7570 8104 8327 9084 10130 11143 11355 12156 15140 15195 16654 18168 20260 22286 22710 24312 24981 30280 30390 33308 33429 40520 41635 44572 45420 49962 55715 60780 66616 66858 83270 89144 90840 99924 111430 121560 124905 133716 166540 167145 199848 222860 249810 267432 333080 334290 445720 499620 668580 766841 999240 1337160 1533682 2300523 3067364 3834205 4601046 6134728 7668410 8435251 9202092 11502615 15336820 16870502 18404184 23005230 25305753 30673640 33741004 42176255 46010460 50611506 67482008 84352510 92020920 101223012 126528765 168705020 202446024 253057530 337410040 506115060 1012230120