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101134330044 = 2231119361311161
BaseRepresentation
bin101111000110000010…
…0110110100010111100
3100200001020002021112120
41132030010312202330
53124110342030134
6114243243402540
710210126423116
oct1361404664274
9320036067476
10101134330044
1139988769050
1217725823450
1396c9820257
144c759783b6
15296db02649
hex178c1368bc

101134330044 has 96 divisors (see below), whose sum is σ = 271081224960. Its totient is φ = 29023142400.

The previous prime is 101134330007. The next prime is 101134330069. The reversal of 101134330044 is 440033431101.

It is a super-3 number, since 3×1011343300443 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101134329996 and 101134330023.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9055824 + ... + 9066984.

It is an arithmetic number, because the mean of its divisors is an integer number (2823762760).

Almost surely, 2101134330044 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 101134330044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135540612480).

101134330044 is an abundant number, since it is smaller than the sum of its proper divisors (169946894916).

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

101134330044 is a wasteful number, since it uses less digits than its factorization.

101134330044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14811 (or 14809 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 101134330044 its reverse (440033431101), we get a palindrome (541167761145).

The spelling of 101134330044 in words is "one hundred one billion, one hundred thirty-four million, three hundred thirty thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 627 836 1254 2508 3613 7226 10839 11161 14452 21678 22322 33483 39743 43356 44644 66966 68647 79486 119229 122771 133932 137294 158972 205941 212059 238458 245542 274588 368313 411882 424118 476916 491084 636177 736626 755117 823764 848236 1272354 1473252 1510234 2265351 2332649 2544708 3020468 4530702 4665298 6997947 9061404 9330596 13995894 27991788 40324693 80649386 120974079 161298772 241948158 443571623 483896316 766169167 887143246 1330714869 1532338334 1774286492 2298507501 2661429738 3064676668 4597015002 5322859476 8427860837 9194030004 16855721674 25283582511 33711443348 50567165022 101134330044