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1012301040 = 243517475279
BaseRepresentation
bin111100010101100…
…111110011110000
32121112211012222010
4330111213303300
54033122113130
6244241042520
734041262662
oct7425476360
92545735863
101012301040
1147a465833
12243026440
131319561ca
1498630532
155dd110b0
hex3c567cf0

1012301040 has 160 divisors (see below), whose sum is σ = 3394068480. Its totient is φ = 248614912.

The previous prime is 1012300997. The next prime is 1012301051. The reversal of 1012301040 is 401032101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 189121 + ... + 194399.

It is an arithmetic number, because the mean of its divisors is an integer number (21212928).

Almost surely, 21012301040 is an apocalyptic number.

1012301040 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 1012301040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697034240).

1012301040 is an abundant number, since it is smaller than the sum of its proper divisors (2381767440).

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

1012301040 is a wasteful number, since it uses less digits than its factorization.

1012301040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5359 (or 5353 counting only the distinct ones).

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

The square root of 1012301040 is about 31816.6786450126. The cubic root of 1012301040 is about 1004.0836477875.

Adding to 1012301040 its reverse (401032101), we get a palindrome (1413333141).

The spelling of 1012301040 in words is "one billion, twelve million, three hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 47 48 51 60 68 80 85 94 102 120 136 141 170 188 204 235 240 255 272 282 340 376 408 470 510 564 680 705 752 799 816 940 1020 1128 1360 1410 1598 1880 2040 2256 2397 2820 3196 3760 3995 4080 4794 5279 5640 6392 7990 9588 10558 11280 11985 12784 15837 15980 19176 21116 23970 26395 31674 31960 38352 42232 47940 52790 63348 63920 79185 84464 89743 95880 105580 126696 158370 179486 191760 211160 248113 253392 269229 316740 358972 422320 448715 496226 538458 633480 717944 744339 897430 992452 1076916 1240565 1266960 1346145 1435888 1488678 1794860 1984904 2153832 2481130 2692290 2977356 3589720 3721695 3969808 4217921 4307664 4962260 5384580 5954712 7179440 7443390 8435842 9924520 10769160 11909424 12653763 14886780 16871684 19849040 21089605 21538320 25307526 29773560 33743368 42179210 50615052 59547120 63268815 67486736 84358420 101230104 126537630 168716840 202460208 253075260 337433680 506150520 1012301040