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131000041213220 = 225415921131281463
BaseRepresentation
bin11101110010010011010010…
…111011000000110100100100
3122011211111000002222120011102
4131302103102323000310210
5114132301041022310340
61142340331011455232
736410304066600614
oct3562232273006444
9564744002876142
10131000041213220
1138816895112233
12128388288b7518
13581333525083a
14244c615c92a44
151022929751215
hex7724d2ec0d24

131000041213220 has 96 divisors (see below), whose sum is σ = 286722136592640. Its totient is φ = 50231670128640.

The previous prime is 131000041213219. The next prime is 131000041213229. The reversal of 131000041213220 is 22312140000131.

It is a super-2 number, since 2×1310000412132202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 131000041213192 and 131000041213201.

It is not an unprimeable number, because it can be changed into a prime (131000041213229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101586209 + ... + 102867671.

It is an arithmetic number, because the mean of its divisors is an integer number (2986688922840).

Almost surely, 2131000041213220 is an apocalyptic number.

131000041213220 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 131000041213220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143361068296320).

131000041213220 is an abundant number, since it is smaller than the sum of its proper divisors (155722095379420).

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

131000041213220 is a wasteful number, since it uses less digits than its factorization.

131000041213220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283685 (or 1283683 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 131000041213220 its reverse (22312140000131), we get a palindrome (153312181213351).

The spelling of 131000041213220 in words is "one hundred thirty-one trillion, forty-one million, two hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 59 82 118 164 205 236 295 410 590 820 1180 2113 2419 4226 4838 8452 9676 10565 12095 21130 24190 42260 48380 86633 124667 173266 249334 346532 433165 498668 623335 866330 1246670 1281463 1732660 2493340 2562926 5111347 5125852 6407315 10222694 12814630 20445388 25556735 25629260 51113470 52539983 75606317 102226940 105079966 151212634 210159932 262699915 302425268 378031585 525399830 756063170 1050799660 1512126340 2707731319 3099858997 5415462638 6199717994 10830925276 12399435988 13538656595 15499294985 27077313190 30998589970 54154626380 61997179940 111016984079 159756147821 222033968158 319512295642 444067936316 555084920395 639024591284 798780739105 1110169840790 1597561478210 2220339681580 3195122956420 6550002060661 13100004121322 26200008242644 32750010303305 65500020606610 131000041213220