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131003130122220 = 223519191601649353
BaseRepresentation
bin11101110010010110001011…
…000010010000111111101100
3122011211202222101022101201110
4131302112023002100333230
5114132323402302402340
61142342001313512020
736410443455103326
oct3562261302207754
9564752871271643
10131003130122220
113881812a789294
121283934b272610
135813708194545
14244c82a200616
151022a5aa08680
hex77258b090fec

131003130122220 has 96 divisors (see below), whose sum is σ = 388136031252480. Its totient is φ = 32922252541440.

The previous prime is 131003130122191. The next prime is 131003130122231. The reversal of 131003130122220 is 22221031300131.

It is a super-2 number, since 2×1310031301222202 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300606937 + ... + 301042416.

It is an arithmetic number, because the mean of its divisors is an integer number (4043083658880).

Almost surely, 2131003130122220 is an apocalyptic number.

131003130122220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131003130122220 is an abundant number, since it is smaller than the sum of its proper divisors (257132901130260).

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

131003130122220 is a wasteful number, since it uses less digits than its factorization.

131003130122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601649575 (or 601649573 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 131003130122220 its reverse (22221031300131), we get a palindrome (153224161422351).

The spelling of 131003130122220 in words is "one hundred thirty-one trillion, three billion, one hundred thirty million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 191 228 285 380 382 570 573 764 955 1140 1146 1910 2292 2865 3629 3820 5730 7258 10887 11460 14516 18145 21774 36290 43548 54435 72580 108870 217740 601649353 1203298706 1804948059 2406597412 3008246765 3609896118 6016493530 7219792236 9024740295 11431337707 12032987060 18049480590 22862675414 34294013121 36098961180 45725350828 57156688535 68588026242 114313377070 114915026423 137176052484 171470065605 228626754140 229830052846 342940131210 344745079269 459660105692 574575132115 685880262420 689490158538 1149150264230 1378980317076 1723725396345 2183385502037 2298300528460 3447450792690 4366771004074 6550156506111 6894901585380 8733542008148 10916927510185 13100313012222 21833855020370 26200626024444 32750782530555 43667710040740 65501565061110 131003130122220