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102032400030 = 23511734235467
BaseRepresentation
bin101111100000110011…
…0101101111010011110
3100202100210221221221220
41133001212231322132
53132430243300110
6114512324234210
710241313043011
oct1370146557236
9322323857856
10102032400030
113a2a96a2350
121793653b966
1398108bc302
144d1cd51378
1529c289c370
hex17c19ade9e

102032400030 has 64 divisors (see below), whose sum is σ = 270798882048. Its totient is φ = 24396284160.

The previous prime is 102032399999. The next prime is 102032400031. The reversal of 102032400030 is 30004230201.

It is a super-2 number, since 2×1020324000302 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 102032399982 and 102032400009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102032400031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2093644 + ... + 2141823.

It is an arithmetic number, because the mean of its divisors is an integer number (4231232532).

Almost surely, 2102032400030 is an apocalyptic number.

102032400030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102032400030 is an abundant number, since it is smaller than the sum of its proper divisors (168766482018).

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

102032400030 is a wasteful number, since it uses less digits than its factorization.

102032400030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4235561.

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 102032400030 its reverse (30004230201), we get a palindrome (132036630231).

The spelling of 102032400030 in words is "one hundred two billion, thirty-two million, four hundred thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 73 110 146 165 219 330 365 438 730 803 1095 1606 2190 2409 4015 4818 8030 12045 24090 4235467 8470934 12706401 21177335 25412802 42354670 46590137 63532005 93180274 127064010 139770411 232950685 279540822 309189091 465901370 618378182 698852055 927567273 1397704110 1545945455 1855134546 3091890910 3401080001 4637836365 6802160002 9275672730 10203240003 17005400005 20406480006 34010800010 51016200015 102032400030