Search a number
-
+
131000322220040 = 235713231564743457
BaseRepresentation
bin11101110010010011100011…
…101010111110000000001000
3122011211111201200202012001102
4131302103203222332000020
5114132302124442020130
61142340414530440532
736410314051243520
oct3562234352760010
9564744650665042
10131000322220040
1138816a197a3879
12128388a6a33148
13581337b52b570
14244c641320680
15102294425c645
hex7724e3abe008

131000322220040 has 128 divisors (see below), whose sum is σ = 378542737359360. Its totient is φ = 39656858148864.

The previous prime is 131000322219869. The next prime is 131000322220057. The reversal of 131000322220040 is 40022223000131.

It is a super-2 number, since 2×1310003222200402 (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 = 131000322219994 and 131000322220021.

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, 782288009 + ... + 782455448.

It is an arithmetic number, because the mean of its divisors is an integer number (2957365135620).

Almost surely, 2131000322220040 is an apocalyptic number.

131000322220040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131000322220040 is an abundant number, since it is smaller than the sum of its proper divisors (247542415139320).

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

131000322220040 is a wasteful number, since it uses less digits than its factorization.

131000322220040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1564743511 (or 1564743507 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 131000322220040 its reverse (40022223000131), we get a palindrome (171022545220171).

The spelling of 131000322220040 in words is "one hundred thirty-one trillion, three hundred twenty-two million, two hundred twenty thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 23 26 28 35 40 46 52 56 65 70 91 92 104 115 130 140 161 182 184 230 260 280 299 322 364 455 460 520 598 644 728 805 910 920 1196 1288 1495 1610 1820 2093 2392 2990 3220 3640 4186 5980 6440 8372 10465 11960 16744 20930 41860 83720 1564743457 3129486914 6258973828 7823717285 10953204199 12517947656 15647434570 20341664941 21906408398 31294869140 35989099511 40683329882 43812816796 54766020995 62589738280 71978199022 81366659764 87625633592 101708324705 109532041990 142391654587 143956398044 162733319528 179945497555 203416649410 219064083980 251923696577 284783309174 287912796088 359890995110 406833298820 438128167960 467858293643 503847393154 569566618348 711958272935 719781990220 813666597640 935716587286 1007694786308 1139133236696 1259618482885 1423916545870 1439563980440 1871433174572 2015389572616 2339291468215 2519236965770 2847833091740 3275008055501 3742866349144 4678582936430 5038473931540 5695666183480 6550016111002 9357165872860 10076947863080 13100032222004 16375040277505 18714331745720 26200064444008 32750080555010 65500161110020 131000322220040