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131222001300 = 223521346397253
BaseRepresentation
bin111101000110101110…
…0001101011010010100
3110112201002100100021020
41322031130031122110
54122220313020200
6140141010521140
712323542415235
oct1721534153224
9415632310236
10131222001300
1150718442865
1221521b961b0
13c4b3100320
1464cb8c508c
153630297ea0
hex1e8d70d694

131222001300 has 144 divisors (see below), whose sum is σ = 409018821120. Its totient is φ = 32289384960.

The previous prime is 131222001283. The next prime is 131222001319. The reversal of 131222001300 is 3100222131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131222001300.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 18088474 + ... + 18095726.

It is an arithmetic number, because the mean of its divisors is an integer number (2840408480).

Almost surely, 2131222001300 is an apocalyptic number.

131222001300 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 131222001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204509410560).

131222001300 is an abundant number, since it is smaller than the sum of its proper divisors (277796819820).

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

131222001300 is a wasteful number, since it uses less digits than its factorization.

131222001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11922 (or 11915 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 131222001300 its reverse (3100222131), we get a palindrome (134322223431).

The spelling of 131222001300 in words is "one hundred thirty-one billion, two hundred twenty-two million, one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 4639 7253 9278 13917 14506 18556 21759 23195 27834 29012 36265 43518 46390 55668 60307 69585 72530 87036 92780 94289 108795 115975 120614 139170 145060 180921 181325 188578 217590 231950 241228 278340 282867 301535 347925 361842 362650 377156 435180 463900 471445 543975 565734 603070 695850 723684 725300 904605 942890 1087950 1131468 1206140 1391700 1414335 1507675 1809210 1885780 2175900 2357225 2828670 3015350 3618420 4523025 4714450 5657340 6030700 7071675 9046050 9428900 14143350 18092100 28286700 33646667 67293334 100940001 134586668 168233335 201880002 336466670 403760004 437406671 504700005 672933340 841166675 874813342 1009400010 1312220013 1682333350 1749626684 2018800020 2187033355 2523500025 2624440026 3364666700 4374066710 5047000050 5248880052 6561100065 8748133420 10094000100 10935166775 13122200130 21870333550 26244400260 32805500325 43740667100 65611000650 131222001300