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131200310130 = 235235910929567
BaseRepresentation
bin111101000110000100…
…1011101101101110010
3110112122120112022120120
41322030021131231302
54122144234411010
6140134513551110
712323160143541
oct1721411355562
9415576468516
10131200310130
115070717797a
1221516875496
13c4ab777206
1464c8a7a158
15362d410e70
hex1e8c25db72

131200310130 has 128 divisors (see below), whose sum is σ = 337217126400. Its totient is φ = 32595450624.

The previous prime is 131200310053. The next prime is 131200310141. The reversal of 131200310130 is 31013002131.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 4422607 + ... + 4452173.

It is an arithmetic number, because the mean of its divisors is an integer number (2634508800).

Almost surely, 2131200310130 is an apocalyptic number.

131200310130 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 131200310130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168608563200).

131200310130 is an abundant number, since it is smaller than the sum of its proper divisors (206016816270).

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

131200310130 is a wasteful number, since it uses less digits than its factorization.

131200310130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29768.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 131200310130 its reverse (31013002131), we get a palindrome (162213312261).

It can be divided in two parts, 131200 and 310130, that added together give a triangular number (441330 = T939).

The spelling of 131200310130 in words is "one hundred thirty-one billion, two hundred million, three hundred ten thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 59 69 109 115 118 138 177 218 230 295 327 345 354 545 590 654 690 885 1090 1357 1635 1770 2507 2714 3270 4071 5014 6431 6785 7521 8142 12535 12862 13570 15042 19293 20355 25070 29567 32155 37605 38586 40710 59134 64310 75210 88701 96465 147835 147913 177402 192930 295670 295826 443505 443739 680041 739565 887010 887478 1360082 1479130 1744453 2040123 2218695 3222803 3400205 3488906 4080246 4437390 5233359 6445606 6800410 8722265 9668409 10200615 10466718 16114015 17444530 19336818 20401230 26166795 32228030 40122419 48342045 52333590 74124469 80244838 96684090 120367257 148248938 190145377 200612095 222373407 240734514 370622345 380290754 401224190 444746814 570436131 601836285 741244690 950726885 1111867035 1140872262 1203672570 1901453770 2223734070 2852180655 4373343671 5704361310 8746687342 13120031013 21866718355 26240062026 43733436710 65600155065 131200310130