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145031301056100 = 2235217239571187023
BaseRepresentation
bin100000111110011110111011…
…001011100100011001100100
3201000111212010201211001211110
4200332132323023210121210
5123002143101032243400
61232242243201505020
742356110561446444
oct4076367313443144
9630455121731743
10145031301056100
114223647a540508
1214324055342170
1362c0515584624
1427b57a3bd6124
1511b78e4b84e50
hex83e7bb2e4664

145031301056100 has 144 divisors (see below), whose sum is σ = 444326576779008. Its totient is φ = 36398462760960.

The previous prime is 145031301056063. The next prime is 145031301056107. The reversal of 145031301056100 is 1650103130541.

It is a super-2 number, since 2×1450313010561002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (145031301056107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121587189 + ... + 122774211.

It is an arithmetic number, because the mean of its divisors is an integer number (3085601227632).

Almost surely, 2145031301056100 is an apocalyptic number.

145031301056100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145031301056100 is an abundant number, since it is smaller than the sum of its proper divisors (299295275722908).

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

145031301056100 is a wasteful number, since it uses less digits than its factorization.

145031301056100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211014 (or 1211007 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

Adding to 145031301056100 its reverse (1650103130541), we get a palindrome (146681404186641).

The spelling of 145031301056100 in words is "one hundred forty-five trillion, thirty-one billion, three hundred one million, fifty-six thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100 23957 47914 71871 95828 119785 143742 239570 287484 359355 407269 479140 598925 718710 814538 1187023 1197850 1221807 1437420 1629076 1796775 2036345 2374046 2395700 2443614 3561069 3593550 4072690 4748092 4887228 5935115 6109035 7122138 7187100 8145380 10181725 11870230 12218070 14244276 17805345 20179391 20363450 23740460 24436140 29675575 30545175 35610690 40358782 40726900 59351150 60538173 61090350 71221380 80717564 89026725 100896955 118702300 121076346 122180700 178053450 201793910 242152692 302690865 356106900 403587820 504484775 605381730 1008969550 1210763460 1513454325 2017939100 3026908650 6053817300 28437510011 56875020022 85312530033 113750040044 142187550055 170625060066 284375100110 341250120132 426562650165 483437670187 568750200220 710937750275 853125300330 966875340374 1421875500550 1450313010561 1706250600660 1933750680748 2132813250825 2417188350935 2843751001100 2900626021122 4265626501650 4834376701870 5801252042244 7251565052805 8531253003300 9668753403740 12085941754675 14503130105610 24171883509350 29006260211220 36257825264025 48343767018700 72515650528050 145031301056100