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131402402211220 = 22573181110576957
BaseRepresentation
bin11101111000001010000001…
…100000011010010110010100
3122020020221120100012001112121
4131320022001200122112110
5114210344104431224340
61143245232532225324
736451340010625000
oct3570120140322624
9566227510161477
10131402402211220
113896149a438348
12128a27ba76b244
135842268a702ca
142463ca5841700
15102d12856994a
hex77828181a594

131402402211220 has 96 divisors (see below), whose sum is σ = 321979524652800. Its totient is φ = 45027370926720.

The previous prime is 131402402211211. The next prime is 131402402211257. The reversal of 131402402211220 is 22112204204131.

131402402211220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 7134982 + ... + 17711938.

It is an arithmetic number, because the mean of its divisors is an integer number (3353953381800).

Almost surely, 2131402402211220 is an apocalyptic number.

131402402211220 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 131402402211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160989762326400).

131402402211220 is an abundant number, since it is smaller than the sum of its proper divisors (190577122441580).

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

131402402211220 is a wasteful number, since it uses less digits than its factorization.

131402402211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10578798 (or 10578782 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 131402402211220 its reverse (22112204204131), we get a palindrome (153514606415351).

The spelling of 131402402211220 in words is "one hundred thirty-one trillion, four hundred two billion, four hundred two million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 686 980 1372 1715 1811 3430 3622 6860 7244 9055 12677 18110 25354 36220 50708 63385 88739 126770 177478 253540 354956 443695 621173 887390 1242346 1774780 2484692 3105865 6211730 10576957 12423460 21153914 42307828 52884785 74038699 105769570 148077398 211539140 296154796 370193495 518270893 740386990 1036541786 1480773980 2073083572 2591354465 3627896251 5182708930 7255792502 10365417860 14511585004 18139481255 19154869127 36278962510 38309738254 72557925020 76619476508 95774345635 134084083889 191548691270 268168167778 383097382540 536336335556 670420419445 938588587223 1340840838890 1877177174446 2681681677780 3754354348892 4692942936115 6570120110561 9385885872230 13140240221122 18771771744460 26280480442244 32850600552805 65701201105610 131402402211220