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100020221103023 = 1319592379730637
BaseRepresentation
bin10110101111011111000101…
…101111111100101110101111
3111010010211200011212222212022
4112233133011233330232233
5101102212403100244043
6552420353311100355
730032136214525334
oct2657370557745657
9433124604788768
10100020221103023
1129962379322171
12b2747098116bb
1343a6b35586370
141a9b00c61098b
15b86b4eb62868
hex5af7c5bfcbaf

100020221103023 has 48 divisors (see below), whose sum is σ = 115371710183520. Its totient is φ = 85959131910912.

The previous prime is 100020221102987. The next prime is 100020221103031. The reversal of 100020221103023 is 320301122020001.

It is not a de Polignac number, because 100020221103023 - 212 = 100020221098927 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100020221102992 and 100020221103010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100020221103083) 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, 3264671861 + ... + 3264702497.

It is an arithmetic number, because the mean of its divisors is an integer number (2403577295490).

Almost surely, 2100020221103023 is an apocalyptic number.

100020221103023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100020221103023 is a deficient number, since it is larger than the sum of its proper divisors (15351489080497).

100020221103023 is a wasteful number, since it uses less digits than its factorization.

100020221103023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34584 (or 34525 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 100020221103023 its reverse (320301122020001), we get a palindrome (420321343123024).

The spelling of 100020221103023 in words is "one hundred trillion, twenty billion, two hundred twenty-one million, one hundred three thousand, twenty-three".

Divisors: 1 13 19 59 247 767 1121 3481 3797 14573 30637 45253 49361 66139 72143 224023 398281 582103 859807 937859 1807583 2912299 4256437 7567339 13217357 23498579 34344077 55333681 106647397 116328689 171825641 251129783 446473001 1386416161 1512272957 2026300543 2210245091 3264687179 6863392651 26341907059 28733186183 89224104463 130404460369 404940166409 1695257984797 5264222163317 7693863161771 100020221103023