Search a number
-
+
131223011211210 = 235711911423226669
BaseRepresentation
bin11101110101100010111100…
…111110000011011111001010
3122012121210112021101001020010
4131311202330332003133022
5114144424211332224320
61143031004044412350
736432356355400032
oct3565427476033712
9565553467331203
10131223011211210
11388a2403940946
1212873a94b470b6
13582b37a355ca9
1424593288928c2
15102862955aae0
hex7758bcf837ca

131223011211210 has 128 divisors (see below), whose sum is σ = 321270060810240. Its totient is φ = 34295049734400.

The previous prime is 131223011211203. The next prime is 131223011211247. The reversal of 131223011211210 is 12112110322131.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 578805756 + ... + 579032424.

It is an arithmetic number, because the mean of its divisors is an integer number (2509922350080).

Almost surely, 2131223011211210 is an apocalyptic number.

131223011211210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131223011211210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160635030405120).

131223011211210 is an abundant number, since it is smaller than the sum of its proper divisors (190047049599030).

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

131223011211210 is a wasteful number, since it uses less digits than its factorization.

131223011211210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228364.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 131223011211210 its reverse (12112110322131), we get a palindrome (143335121533341).

The spelling of 131223011211210 in words is "one hundred thirty-one trillion, two hundred twenty-three billion, eleven million, two hundred eleven thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 71 142 191 213 355 382 426 573 710 955 1065 1146 1423 1910 2130 2846 2865 4269 5730 7115 8538 13561 14230 21345 27122 40683 42690 67805 81366 101033 135610 202066 203415 226669 271793 303099 406830 453338 505165 543586 606198 680007 815379 1010330 1133345 1358965 1360014 1515495 1630758 2266690 2717930 3030990 3400035 4076895 6800070 8153790 16093499 19297303 32186998 38594606 43293779 48280497 57891909 80467495 86587558 96486515 96560994 115783818 129881337 160934990 192973030 216468895 241402485 259762674 289459545 322549987 432937790 482804970 578919090 645099974 649406685 967649961 1298813370 1612749935 1935299922 3073858309 3225499870 4838249805 6147716618 9221574927 9676499610 15369291545 18443149854 22901049077 30738583090 45802098154 46107874635 61607047517 68703147231 92215749270 114505245385 123214095034 137406294462 184821142551 229010490770 308035237585 343515736155 369642285102 616070475170 687031472310 924105712755 1848211425510 4374100373707 8748200747414 13122301121121 21870501868535 26244602242242 43741003737070 65611505605605 131223011211210