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100023210320 = 24511113662739
BaseRepresentation
bin101110100100111011…
…0010001000101010000
3100120011210022112211012
41131021312101011100
53114321420212240
6113541112310052
710140445155035
oct1351166210520
9316153275735
10100023210320
1139468549390
12174756a2328
139580578167
144bac18338c
1529062c1b65
hex1749d91150

100023210320 has 40 divisors (see below), whose sum is σ = 253695235680. Its totient is φ = 36372076160.

The previous prime is 100023210311. The next prime is 100023210323. The reversal of 100023210320 is 23012320001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 100023210295 and 100023210304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100023210323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56830490 + ... + 56832249.

It is an arithmetic number, because the mean of its divisors is an integer number (6342380892).

Almost surely, 2100023210320 is an apocalyptic number.

100023210320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100023210320 is an abundant number, since it is smaller than the sum of its proper divisors (153672025360).

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

100023210320 is a wasteful number, since it uses less digits than its factorization.

100023210320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113662763 (or 113662757 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 100023210320 its reverse (23012320001), we get a palindrome (123035530321).

The spelling of 100023210320 in words is "one hundred billion, twenty-three million, two hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 113662739 227325478 454650956 568313695 909301912 1136627390 1250290129 1818603824 2273254780 2500580258 4546509560 5001160516 6251450645 9093019120 10002321032 12502901290 20004642064 25005802580 50011605160 100023210320