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10132023200100 = 2235269148876137
BaseRepresentation
bin1001001101110000101110…
…1001001100100101100100
31022212121112010011201020020
42103130023221030211210
52312000340414400400
633314330500235140
72064004660131234
oct223341351144544
938777463151206
1010132023200100
113256a6aa5634a
1211777a209bab0
135865a423b279
1427056d1b1cc4
151288556ed2a0
hex9370ba4c964

10132023200100 has 72 divisors (see below), whose sum is σ = 29357745546528. Its totient is φ = 2697962707200.

The previous prime is 10132023200093. The next prime is 10132023200111. The reversal of 10132023200100 is 100232023101.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10132023200100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24230769 + ... + 24645368.

It is an arithmetic number, because the mean of its divisors is an integer number (407746465924).

Almost surely, 210132023200100 is an apocalyptic number.

10132023200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10132023200100 is an abundant number, since it is smaller than the sum of its proper divisors (19225722346428).

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

10132023200100 is a wasteful number, since it uses less digits than its factorization.

10132023200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48876845 (or 48876838 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10132023200100 its reverse (100232023101), we get a palindrome (10232255223201).

The spelling of 10132023200100 in words is "ten trillion, one hundred thirty-two billion, twenty-three million, two hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 691 1382 2073 2764 3455 4146 6910 8292 10365 13820 17275 20730 34550 41460 51825 69100 103650 207300 48876137 97752274 146628411 195504548 244380685 293256822 488761370 586513644 733142055 977522740 1221903425 1466284110 2443806850 2932568220 3665710275 4887613700 7331420550 14662841100 33773410667 67546821334 101320232001 135093642668 168867053335 202640464002 337734106670 405280928004 506601160005 675468213340 844335266675 1013202320010 1688670533350 2026404640020 2533005800025 3377341066700 5066011600050 10132023200100