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1012010112 = 273497609
BaseRepresentation
bin111100010100100…
…000110010000000
32121112021102220000
4330110200302000
54033033310422
6244230520000
734035641541
oct7424406200
92545242800
101012010112
1147a2871a3
12242b06000
13131883969
14985964c8
155dca4cac
hex3c520c80

1012010112 has 80 divisors (see below), whose sum is σ = 3011756550. Its totient is φ = 337333248.

The previous prime is 1012010101. The next prime is 1012010149. The reversal of 1012010112 is 2110102101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 884229696 + 127780416 = 29736^2 + 11304^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1012010094 and 1012010103.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 38437 + ... + 59172.

Almost surely, 21012010112 is an apocalyptic number.

1012010112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1012010112 is an abundant number, since it is smaller than the sum of its proper divisors (1999746438).

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

1012010112 is an frugal number, since it uses more digits than its factorization.

1012010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97635 (or 97614 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1012010112 is about 31812.1063747750. The cubic root of 1012010112 is about 1003.9874497778.

Adding to 1012010112 its reverse (2110102101), we get a palindrome (3122112213).

The spelling of 1012010112 in words is "one billion, twelve million, ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 10368 97609 195218 292827 390436 585654 780872 878481 1171308 1561744 1756962 2342616 2635443 3123488 3513924 4685232 5270886 6246976 7027848 7906329 9370464 10541772 12493952 14055696 15812658 18740928 21083544 28111392 31625316 37481856 42167088 56222784 63250632 84334176 112445568 126501264 168668352 253002528 337336704 506005056 1012010112