Search a number
-
+
41022034100 = 225223291514073
BaseRepresentation
bin100110001101000110…
…101001000010110100
310220212220012020201022
4212031012221002310
51133003120042400
630502324320312
72651364352025
oct461506510264
9126786166638
1041022034100
1116440961423
127b4a243098
133b39a35978
141db2212c4c
1511015bbb85
hex98d1a90b4

41022034100 has 144 divisors (see below), whose sum is σ = 96751307520. Its totient is φ = 15050112000.

The previous prime is 41022034087. The next prime is 41022034117. The reversal of 41022034100 is 143022014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10069664 + ... + 10073736.

It is an arithmetic number, because the mean of its divisors is an integer number (671884080).

Almost surely, 241022034100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41022034100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48375653760).

41022034100 is an abundant number, since it is smaller than the sum of its proper divisors (55729273420).

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

41022034100 is a wasteful number, since it uses less digits than its factorization.

41022034100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4290 (or 4283 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 41022034100 its reverse (143022014), we get a palindrome (41165056114).

The spelling of 41022034100 in words is "forty-one billion, twenty-two million, thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 29 46 50 58 92 100 115 116 145 151 230 290 302 460 575 580 604 667 725 755 1150 1334 1450 1510 2300 2668 2900 3020 3335 3473 3775 4073 4379 6670 6946 7550 8146 8758 13340 13892 15100 16292 16675 17365 17516 20365 21895 33350 34730 40730 43790 66700 69460 81460 86825 87580 93679 100717 101825 109475 118117 173650 187358 201434 203650 218950 236234 347300 374716 402868 407300 437900 468395 472468 503585 590585 615023 936790 1007170 1181170 1230046 1873580 2014340 2341975 2362340 2460092 2517925 2716691 2952925 3075115 4683950 5035850 5433382 5905850 6150230 9367900 10071700 10866764 11811700 12300460 13583455 14145529 15375575 17835667 27166910 28291058 30751150 35671334 54333820 56582116 61502300 67917275 70727645 71342668 89178335 135834550 141455290 178356670 271669100 282910580 353638225 356713340 410220341 445891675 707276450 820440682 891783350 1414552900 1640881364 1783566700 2051101705 4102203410 8204406820 10255508525 20511017050 41022034100