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131222021100 = 223524127139367
BaseRepresentation
bin111101000110101110…
…0010010001111101100
3110112201002101100102120
41322031130102033230
54122220314133400
6140141011152540
712323542530042
oct1721534221754
9415632340376
10131222021100
1150718456725
1221521ba5750
13c4b3109341
1464cb8cc392
15363029dca0
hex1e8d7123ec

131222021100 has 144 divisors (see below), whose sum is σ = 390374347776. Its totient is φ = 34012224000.

The previous prime is 131222021093. The next prime is 131222021101. The reversal of 131222021100 is 1120222131.

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 131222021100.

It is not an unprimeable number, because it can be changed into a prime (131222021101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3313617 + ... + 3352983.

Almost surely, 2131222021100 is an apocalyptic number.

131222021100 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 131222021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195187173888).

131222021100 is an abundant number, since it is smaller than the sum of its proper divisors (259152326676).

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

131222021100 is a wasteful number, since it uses less digits than its factorization.

131222021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39696 (or 39689 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 131222021100 its reverse (1120222131), we get a palindrome (132342243231).

The spelling of 131222021100 in words is "one hundred thirty-one billion, two hundred twenty-two million, twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 271 300 410 492 542 615 813 820 1025 1084 1230 1355 1626 2050 2460 2710 3075 3252 4065 4100 5420 6150 6775 8130 11111 12300 13550 16260 20325 22222 27100 33333 39367 40650 44444 55555 66666 78734 81300 111110 118101 133332 157468 166665 196835 222220 236202 277775 333330 393670 472404 555550 590505 666660 787340 833325 984175 1111100 1181010 1614047 1666650 1968350 2362020 2952525 3228094 3333300 3936700 4842141 5905050 6456188 8070235 9684282 10668457 11810100 16140470 19368564 21336914 24210705 32005371 32280940 40351175 42673828 48421410 53342285 64010742 80702350 96842820 106684570 121053525 128021484 160026855 161404700 213369140 242107050 266711425 320053710 437406737 484214100 533422850 640107420 800134275 874813474 1066845700 1312220211 1600268550 1749626948 2187033685 2624440422 3200537100 4374067370 5248880844 6561101055 8748134740 10935168425 13122202110 21870336850 26244404220 32805505275 43740673700 65611010550 131222021100