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100242223381863 = 3367715471426811
BaseRepresentation
bin10110110010101101110110…
…000111011011110101100111
3111010221001200220100020211000
4112302231312013123311213
5101114332033141204423
6553110350334244343
730054155513002023
oct2662556607336547
9433831626306730
10100242223381863
1129a38540876092
12b2ab7459566b3
1343c1a55044834
141aa7a6c8a7383
15b8c7e4a15843
hex5b2b761dbd67

100242223381863 has 64 divisors (see below), whose sum is σ = 153125920419840. Its totient is φ = 64784821701600.

The previous prime is 100242223381837. The next prime is 100242223381871. The reversal of 100242223381863 is 368183322242001.

100242223381863 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 42 + 223 + 381 + 8 + 6 + 3 = 666.

It is not a de Polignac number, because 100242223381863 - 25 = 100242223381831 is a prime.

It is a super-2 number, since 2×1002422233818632 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100242223381063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69542728 + ... + 70969538.

It is an arithmetic number, because the mean of its divisors is an integer number (2392592506560).

Almost surely, 2100242223381863 is an apocalyptic number.

100242223381863 is a deficient number, since it is larger than the sum of its proper divisors (52883697037977).

100242223381863 is a wasteful number, since it uses less digits than its factorization.

100242223381863 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427505 (or 1427499 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 100242223381863 in words is "one hundred trillion, two hundred forty-two billion, two hundred twenty-three million, three hundred eighty-one thousand, eight hundred sixty-three".

Divisors: 1 3 9 27 67 71 201 213 547 603 639 1641 1809 1917 4757 4923 14271 14769 36649 38837 42813 109947 116511 128439 329841 349533 989523 1048599 1426811 2602079 4280433 7806237 12841299 23418711 38523897 70256133 95596337 101303581 286789011 303910743 780465617 860367033 911732229 2341396851 2581101099 2735196687 6787339927 7024190553 20362019781 21072571659 52291196339 55413058807 61086059343 156873589017 166239176421 183258178029 470620767051 498717529263 1411862301153 1496152587789 3712674940069 11138024820207 33414074460621 100242223381863