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131043022000 = 2453116788903
BaseRepresentation
bin111101000001011000…
…1011101010010110000
3110112020121120020211021
41322002301131102300
54121334003201000
6140111134425224
712316240210552
oct1720261352260
9415217506737
10131043022000
1150636407a90
1221492062214
13c484cc5c07
1464b1c154d2
15361e6e211a
hex1e82c5d4b0

131043022000 has 160 divisors (see below), whose sum is σ = 350830831104. Its totient is φ = 46940256000.

The previous prime is 131043021959. The next prime is 131043022001. The reversal of 131043022000 is 220340131.

It is a happy number.

It is a super-2 number, since 2×1310430220002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (131043022001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1429549 + ... + 1518451.

Almost surely, 2131043022000 is an apocalyptic number.

131043022000 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 131043022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175415415552).

131043022000 is an abundant number, since it is smaller than the sum of its proper divisors (219787809104).

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

131043022000 is a wasteful number, since it uses less digits than its factorization.

131043022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89004 (or 88988 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 131043022000 its reverse (220340131), we get a palindrome (131263362131).

The spelling of 131043022000 in words is "one hundred thirty-one billion, forty-three million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 67 80 88 100 110 125 134 176 200 220 250 268 275 335 400 440 500 536 550 670 737 880 1000 1072 1100 1340 1375 1474 1675 2000 2200 2680 2750 2948 3350 3685 4400 5360 5500 5896 6700 7370 8375 11000 11792 13400 14740 16750 18425 22000 26800 29480 33500 36850 58960 67000 73700 88903 92125 134000 147400 177806 184250 294800 355612 368500 444515 711224 737000 889030 977933 1422448 1474000 1778060 1955866 2222575 3556120 3911732 4445150 4889665 5956501 7112240 7823464 8890300 9779330 11112875 11913002 15646928 17780600 19558660 22225750 23826004 24448325 29782505 35561200 39117320 44451500 47652008 48896650 59565010 65521511 78234640 88903000 95304016 97793300 119130020 122241625 131043022 148912525 177806000 195586600 238260040 244483250 262086044 297825050 327607555 391173200 476520080 488966500 524172088 595650100 655215110 744562625 977933000 1048344176 1191300200 1310430220 1489125250 1638037775 1955866000 2382600400 2620860440 2978250500 3276075550 5241720880 5956501000 6552151100 8190188875 11913002000 13104302200 16380377750 26208604400 32760755500 65521511000 131043022000