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1012143480 = 2335109223347
BaseRepresentation
bin111100010101000…
…001010101111000
32121112112012211120
4330111001111320
54033102042410
6244233425240
734040035425
oct7425012570
92545465746
101012143480
1147a368417
12242b6b220
131318cc58a
14985ccd4c
155dcce570
hex3c541578

1012143480 has 128 divisors (see below), whose sum is σ = 3086899200. Its totient is φ = 265462272.

The previous prime is 1012143469. The next prime is 1012143481. The reversal of 1012143480 is 843412101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1012143480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012143481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2916667 + ... + 2917013.

It is an arithmetic number, because the mean of its divisors is an integer number (24116400).

Almost surely, 21012143480 is an apocalyptic number.

1012143480 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 1012143480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543449600).

1012143480 is an abundant number, since it is smaller than the sum of its proper divisors (2074755720).

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

1012143480 is a wasteful number, since it uses less digits than its factorization.

1012143480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1012143480 is about 31814.2024888256. The cubic root of 1012143480 is about 1004.0315514177.

Adding to 1012143480 its reverse (843412101), we get a palindrome (1855555581).

The spelling of 1012143480 in words is "one billion, twelve million, one hundred forty-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 109 120 218 223 327 347 436 446 545 654 669 694 872 892 1041 1090 1115 1308 1338 1388 1635 1735 1784 2082 2180 2230 2616 2676 2776 3270 3345 3470 4164 4360 4460 5205 5352 6540 6690 6940 8328 8920 10410 13080 13380 13880 20820 24307 26760 37823 41640 48614 72921 75646 77381 97228 113469 121535 145842 151292 154762 189115 194456 226938 232143 243070 291684 302584 309524 364605 378230 386905 453876 464286 486140 567345 583368 619048 729210 756460 773810 907752 928572 972280 1134690 1160715 1458420 1512920 1547620 1857144 2269380 2321430 2916840 3095240 4538760 4642860 8434529 9285720 16869058 25303587 33738116 42172645 50607174 67476232 84345290 101214348 126517935 168690580 202428696 253035870 337381160 506071740 1012143480