Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
101001010100 = 225231431913967
BaseRepresentation
bin101111000010000100…
…0010001101110110100
3100122200221012220221212
41132010020101232310
53123322224310400
6114222122100552
710203620264204
oct1360410215664
9318627186855
10101001010100
113991a489881
12176a904a758
1396a8011603
144c61d92404
15296206a335
hex1784211bb4

101001010100 has 144 divisors (see below), whose sum is σ = 232774434816. Its totient is φ = 37978416000.

The previous prime is 101001010081. The next prime is 101001010109. The reversal of 101001010100 is 1010100101.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001010109) 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, 25458317 + ... + 25462283.

Almost surely, 2101001010100 is an apocalyptic number.

101001010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101001010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116387217408).

101001010100 is an abundant number, since it is smaller than the sum of its proper divisors (131773424716).

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

101001010100 is a wasteful number, since it uses less digits than its factorization.

101001010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4246 (or 4239 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 101001010100 its reverse (1010100101), we get a palindrome (102011110201).

Subtracting from 101001010100 its reverse (1010100101), we obtain a palindrome (99990909999).

The spelling of 101001010100 in words is "one hundred one billion, one million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 43 50 62 86 100 124 155 172 191 215 310 382 430 620 764 775 860 955 1075 1333 1550 1910 2150 2666 3100 3820 3967 4300 4775 5332 5921 6665 7934 8213 9550 11842 13330 15868 16426 19100 19835 23684 26660 29605 32852 33325 39670 41065 59210 66650 79340 82130 99175 118420 122977 133300 148025 164260 170581 198350 205325 245954 254603 296050 341162 396700 410650 491908 509206 592100 614885 682324 757697 821300 852905 1018412 1229770 1273015 1515394 1705810 2459540 2546030 3030788 3074425 3411620 3788485 4264525 5092060 5288011 6148850 6365075 7576970 8529050 10576022 12297700 12730150 15153940 17058100 18942425 21152044 23488607 25460300 26440055 32580971 37884850 46977214 52880110 65161942 75769700 93954428 105760220 117443035 130323884 132200275 162904855 234886070 264400550 325809710 469772140 528801100 587215175 651619420 814524275 1010010101 1174430350 1629048550 2020020202 2348860700 3258097100 4040040404 5050050505 10100101010 20200202020 25250252525 50500505050 101001010100