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13531322000 = 245377113613
BaseRepresentation
bin11001001101000011…
…11001011010010000
31021221000120101020002
430212201321122100
5210203004301000
610114411105132
7656214224240
oct144641713220
937830511202
1013531322000
115814095549
1227577421a8
1313784a2711
14925155b20
15542e058d5
hex326879690

13531322000 has 160 divisors (see below), whose sum is σ = 37922287104. Its totient is φ = 4573632000.

The previous prime is 13531321987. The next prime is 13531322009. The reversal of 13531322000 is 22313531.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (13531322009) 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, 987194 + ... + 1000806.

Almost surely, 213531322000 is an apocalyptic number.

13531322000 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 13531322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18961143552).

13531322000 is an abundant number, since it is smaller than the sum of its proper divisors (24390965104).

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

13531322000 is a wasteful number, since it uses less digits than its factorization.

13531322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13714 (or 13698 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

Adding to 13531322000 its reverse (22313531), we get a palindrome (13553635531).

The spelling of 13531322000 in words is "thirteen billion, five hundred thirty-one million, three hundred twenty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 71 80 100 112 125 140 142 175 200 250 280 284 350 355 400 497 500 560 568 700 710 875 994 1000 1136 1400 1420 1750 1775 1988 2000 2485 2800 2840 3500 3550 3976 4970 5680 7000 7100 7952 8875 9940 12425 13613 14000 14200 17750 19880 24850 27226 28400 35500 39760 49700 54452 62125 68065 71000 95291 99400 108904 124250 136130 142000 190582 198800 217808 248500 272260 340325 381164 476455 497000 544520 680650 762328 952910 966523 994000 1089040 1361300 1524656 1701625 1905820 1933046 2382275 2722600 3403250 3811640 3866092 4764550 4832615 5445200 6765661 6806500 7623280 7732184 9529100 9665230 11911375 13531322 13613000 15464368 19058200 19330460 23822750 24163075 27062644 27226000 33828305 38116400 38660920 47645500 48326150 54125288 67656610 77321840 95291000 96652300 108250576 120815375 135313220 169141525 190582000 193304600 241630750 270626440 338283050 386609200 483261500 541252880 676566100 845707625 966523000 1353132200 1691415250 1933046000 2706264400 3382830500 6765661000 13531322000