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331131200130 = 232517613547961
BaseRepresentation
bin1001101000110001111…
…01010010001010000010
31011122201002202211222100
410310120331102022002
520411124041401010
6412041454451230
732631511521633
oct4643075221202
91148632684870
10331131200130
11118482a25775
1254213203b16
13252c16799a3
14120538cb88a
1589307832c0
hex4d18f52282

331131200130 has 96 divisors (see below), whose sum is σ = 926528988528. Its totient is φ = 81744998400.

The previous prime is 331131200111. The next prime is 331131200149. The reversal of 331131200130 is 31002131133.

It is a happy number.

331131200130 is a `hidden beast` number, since 331 + 1 + 3 + 1 + 200 + 130 = 666.

It is an interprime number because it is at equal distance from previous prime (331131200111) and next prime (331131200149).

It can be written as a sum of positive squares in 8 ways, for example, as 22809758841 + 308321441289 = 151029^2 + 555267^2 .

It is a super-2 number, since 2×3311312001302 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1680651 + ... + 1867310.

Almost surely, 2331131200130 is an apocalyptic number.

331131200130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

331131200130 is an abundant number, since it is smaller than the sum of its proper divisors (595397788398).

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

331131200130 is a wasteful number, since it uses less digits than its factorization.

331131200130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3548052 (or 3548049 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 331131200130 its reverse (31002131133), we get a palindrome (362133331263).

The spelling of 331131200130 in words is "three hundred thirty-one billion, one hundred thirty-one million, two hundred thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 61 85 90 102 122 153 170 183 255 305 306 366 510 549 610 765 915 1037 1098 1530 1830 2074 2745 3111 5185 5490 6222 9333 10370 15555 18666 31110 46665 93330 3547961 7095922 10643883 17739805 21287766 31931649 35479610 53219415 60315337 63863298 106438830 120630674 159658245 180946011 216425621 301576685 319316490 361892022 432851242 542838033 603153370 649276863 904730055 1082128105 1085676066 1298553726 1809460110 1947830589 2164256210 2714190165 3246384315 3679235557 3895661178 5428380330 6492768630 7358471114 9739152945 11037706671 18396177785 19478305890 22075413342 33113120013 36792355570 55188533355 66226240026 110377066710 165565600065 331131200130