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1130312221300 = 2252157263457599
BaseRepresentation
bin10000011100101011110…
…110111100001001110100
311000001112101212011012201
4100130223312330021310
5122004334412040200
62223131441354244
7144443122233403
oct20345366741164
94001471764181
101130312221300
113a63a9866559
1216308b338984
1382784a59ab2
143c9c918763a
151e606beec6a
hex1072bdbc274

1130312221300 has 144 divisors (see below), whose sum is σ = 2487353299200. Its totient is φ = 445812157440.

The previous prime is 1130312221243. The next prime is 1130312221321. The reversal of 1130312221300 is 31222130311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1886998401 + ... + 1886998999.

It is an arithmetic number, because the mean of its divisors is an integer number (17273286800).

Almost surely, 21130312221300 is an apocalyptic number.

1130312221300 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 1130312221300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243676649600).

1130312221300 is an abundant number, since it is smaller than the sum of its proper divisors (1357041077900).

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

1130312221300 is a wasteful number, since it uses less digits than its factorization.

1130312221300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 1130312221300 its reverse (31222130311), we get a palindrome (1161534351611).

The spelling of 1130312221300 in words is "one trillion, one hundred thirty billion, three hundred twelve million, two hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 157 263 314 457 526 599 628 785 914 1052 1198 1315 1570 1828 2285 2396 2630 2995 3140 3925 4570 5260 5990 6575 7850 9140 11425 11980 13150 14975 15700 22850 26300 29950 41291 45700 59900 71749 82582 94043 120191 143498 157537 165164 188086 206455 240382 273743 286996 315074 358745 376172 412910 470215 480764 547486 600955 630148 717490 787685 825820 940430 1032275 1094972 1201910 1368715 1434980 1575370 1793725 1880860 2064550 2351075 2403820 2737430 3004775 3150740 3587450 3938425 4129100 4702150 5474860 6009550 6843575 7174900 7876850 9404300 12019100 13687150 15753700 18869987 24733309 27374300 37739974 42977651 49466618 71994409 75479948 85955302 94349935 98933236 123666545 143988818 171910604 188699870 214888255 247333090 287977636 359972045 377399740 429776510 471749675 494666180 618332725 719944090 859553020 943499350 1074441275 1236665450 1439888180 1799860225 1886998700 2148882550 2473330900 3599720450 4297765100 7199440900 11303122213 22606244426 45212488852 56515611065 113031222130 226062444260 282578055325 565156110650 1130312221300