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100022210130 = 23543167464291
BaseRepresentation
bin101110100100111001…
…0011100111001010010
3100120011201102201211010
41131021302130321102
53114321141211010
6113541035031350
710140433521033
oct1351162347122
9316151381733
10100022210130
1139467a25987
121747529b556
1395802b7b2b
144babda2a8a
152906175620
hex1749c9ce52

100022210130 has 64 divisors (see below), whose sum is σ = 247107345408. Its totient is φ = 25896239040.

The previous prime is 100022210107. The next prime is 100022210147. The reversal of 100022210130 is 31012220001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16716 + ... + 447575.

It is an arithmetic number, because the mean of its divisors is an integer number (3861052272).

Almost surely, 2100022210130 is an apocalyptic number.

100022210130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100022210130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123553672704).

100022210130 is an abundant number, since it is smaller than the sum of its proper divisors (147085135278).

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

100022210130 is a wasteful number, since it uses less digits than its factorization.

100022210130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464511.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100022210130 its reverse (31012220001), we get a palindrome (131034430131).

The spelling of 100022210130 in words is "one hundred billion, twenty-two million, two hundred ten thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 167 215 258 334 430 501 645 835 1002 1290 1670 2505 5010 7181 14362 21543 35905 43086 71810 107715 215430 464291 928582 1392873 2321455 2785746 4642910 6964365 13928730 19964513 39929026 59893539 77536597 99822565 119787078 155073194 199645130 232609791 299467695 387682985 465219582 598935390 775365970 1163048955 2326097910 3334073671 6668147342 10002221013 16670368355 20004442026 33340736710 50011105065 100022210130