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1012152144 = 2434771289
BaseRepresentation
bin111100010101000…
…011011101010000
32121112112122201110
4330111003131100
54033102332034
6244233533320
734040102613
oct7425033520
92545478643
101012152144
1147a373983
12242b74240
131319034c3
14985d217a
155dcd1de9
hex3c543750

1012152144 has 120 divisors (see below), whose sum is σ = 2738931840. Its totient is φ = 321896960.

The previous prime is 1012152133. The next prime is 1012152151. The reversal of 1012152144 is 4412512101.

It is a self number, because there is not a number n which added to its sum of digits gives 1012152144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11372452 + ... + 11372540.

It is an arithmetic number, because the mean of its divisors is an integer number (22824432).

Almost surely, 21012152144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012152144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369465920).

1012152144 is an abundant number, since it is smaller than the sum of its proper divisors (1726779696).

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

1012152144 is an equidigital number, since it uses as much as digits as its factorization.

1012152144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 1012152144 is about 31814.3386541352. The cubic root of 1012152144 is about 1004.0344162633.

Adding to 1012152144 its reverse (4412512101), we get a palindrome (5424664245).

The spelling of 1012152144 in words is "one billion, twelve million, one hundred fifty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 71 89 94 141 142 178 188 213 267 282 284 356 376 426 534 564 568 712 752 852 1068 1128 1136 1424 1704 2136 2256 3337 3408 4183 4272 5041 6319 6674 8366 10011 10082 12549 12638 13348 15123 16732 18957 20022 20164 25098 25276 26696 30246 33464 37914 40044 40328 50196 50552 53392 60492 66928 75828 80088 80656 100392 101104 120984 151656 160176 200784 236927 241968 296993 303312 448649 473854 593986 710781 890979 897298 947708 1187972 1345947 1421562 1781958 1794596 1895416 2375944 2691894 2843124 3563916 3589192 3790832 4751888 5383788 5686248 7127832 7178384 10767576 11372496 14255664 21086503 21535152 42173006 63259509 84346012 126519018 168692024 253038036 337384048 506076072 1012152144