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1325433131430 = 2351713722938273
BaseRepresentation
bin10011010010011001111…
…110001001000110100110
311200201011201021101122220
4103102121332021012212
5133203441340201210
62452521235533210
7164521316504532
oct23223176110646
94621151241586
101325433131430
114711274a3281
12194a64a5a206
1397cac2a2635
144821927cbc2
1524726b52c70
hex13499f891a6

1325433131430 has 128 divisors (see below), whose sum is σ = 3394634479488. Its totient is φ = 330045652992.

The previous prime is 1325433131401. The next prime is 1325433131461. The reversal of 1325433131430 is 341313345231.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1325433131391 and 1325433131400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 160207774 + ... + 160216046.

It is an arithmetic number, because the mean of its divisors is an integer number (26520581871).

Almost surely, 21325433131430 is an apocalyptic number.

1325433131430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1325433131430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697317239744).

1325433131430 is an abundant number, since it is smaller than the sum of its proper divisors (2069201348058).

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

1325433131430 is a wasteful number, since it uses less digits than its factorization.

1325433131430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10730.

The product of its (nonzero) digits is 38880, while the sum is 33.

Adding to 1325433131430 its reverse (341313345231), we get a palindrome (1666746476661).

The spelling of 1325433131430 in words is "one trillion, three hundred twenty-five billion, four hundred thirty-three million, one hundred thirty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 137 170 255 274 411 510 685 822 1370 2055 2293 2329 4110 4586 4658 6879 6987 8273 11465 11645 13758 13974 16546 22930 23290 24819 34395 34935 38981 41365 49638 68790 69870 77962 82730 116943 124095 140641 194905 233886 248190 281282 314141 389810 421923 584715 628282 703205 843846 942423 1133401 1169430 1406410 1570705 1884846 2109615 2266802 3141410 3400203 4219230 4712115 5340397 5667005 6800406 9424230 10680794 11334010 16021191 17001015 18969989 19267817 26701985 32042382 34002030 37939978 38535634 53403970 56909967 57803451 80105955 94849945 96339085 113819934 115606902 160211910 189699890 192678170 284549835 289017255 322489813 569099670 578034510 644979626 967469439 1612449065 1934938878 2598888493 3224898130 4837347195 5197776986 7796665479 9674694390 12994442465 15593330958 25988884930 38983327395 44181104381 77966654790 88362208762 132543313143 220905521905 265086626286 441811043810 662716565715 1325433131430