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1030331141312 = 26112367949733
BaseRepresentation
bin11101111111001001000…
…01011000110011000000
310122111110112211001100012
432333210201120303000
5113340104233010222
62105154432044052
7134303365125314
oct16774441306300
93574415731305
101030331141312
11367a63083330
12147827993628
1376210143035
1437c2284db44
151bc044a11e2
hexefe4858cc0

1030331141312 has 112 divisors (see below), whose sum is σ = 2362148013312. Its totient is φ = 441283476480.

The previous prime is 1030331141291. The next prime is 1030331141377. The reversal of 1030331141312 is 2131411330301.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 609998 + ... + 1559730.

Almost surely, 21030331141312 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 1030331141312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181074006656).

1030331141312 is an abundant number, since it is smaller than the sum of its proper divisors (1331816872000).

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

1030331141312 is a wasteful number, since it uses less digits than its factorization.

1030331141312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949846 (or 949836 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 1030331141312 its reverse (2131411330301), we get a palindrome (3161742471613).

The spelling of 1030331141312 in words is "one trillion, thirty billion, three hundred thirty-one million, one hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 67 88 92 134 176 184 253 268 352 368 506 536 704 736 737 1012 1072 1472 1474 1541 2024 2144 2948 3082 4048 4288 5896 6164 8096 11792 12328 16192 16951 23584 24656 33902 47168 49312 67804 98624 135608 271216 542432 949733 1084864 1899466 3798932 7597864 10447063 15195728 20894126 21843859 30391456 41788252 43687718 60782912 63632111 83576504 87375436 127264222 167153008 174750872 240282449 254528444 334306016 349501744 480564898 509056888 668612032 699003488 699953221 961129796 1018113776 1398006976 1399906442 1463538553 1922259592 2036227552 2799812884 2927077106 3844519184 4072455104 5599625768 5854154212 7689038368 11199251536 11708308424 15378076736 16098924083 22398503072 23416616848 32197848166 44797006144 46833233696 64395696332 93666467392 128791392664 257582785328 515165570656 1030331141312