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101033313204 = 223231076835009
BaseRepresentation
bin101111000011000001…
…1100000001110110100
3100122210012000002111010
41132012003200032310
53123404012010304
6114225234312220
710204461664305
oct1360603401664
9318705002433
10101033313204
113993674265a
12176b7a28670
1396b1911985
144c663a07ac
152964ceb789
hex17860e03b4

101033313204 has 96 divisors (see below), whose sum is σ = 248706339840. Its totient is φ = 31859373568.

The previous prime is 101033313193. The next prime is 101033313211. The reversal of 101033313204 is 402313330101.

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, 20167852 + ... + 20172860.

It is an arithmetic number, because the mean of its divisors is an integer number (2590691040).

Almost surely, 2101033313204 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 101033313204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124353169920).

101033313204 is an abundant number, since it is smaller than the sum of its proper divisors (147673026636).

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

101033313204 is a wasteful number, since it uses less digits than its factorization.

101033313204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5829 (or 5827 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 101033313204 its reverse (402313330101), we get a palindrome (503346643305).

The spelling of 101033313204 in words is "one hundred one billion, thirty-three million, three hundred thirteen thousand, two hundred four".

Divisors: 1 2 3 4 6 12 23 46 69 92 107 138 214 276 321 428 642 683 1284 1366 2049 2461 2732 4098 4922 5009 7383 8196 9844 10018 14766 15027 15709 20036 29532 30054 31418 47127 60108 62836 73081 94254 115207 146162 188508 219243 230414 292324 345621 438486 460828 535963 691242 876972 1071926 1382484 1607889 1680863 2143852 3215778 3361726 3421147 5042589 6431556 6723452 6842294 10085178 10263441 12327149 13684588 20170356 20526882 24654298 36981447 41053764 49308596 73962894 78686381 147925788 157372762 236059143 314745524 366062729 472118286 732125458 944236572 1098188187 1464250916 2196376374 4392752748 8419442767 16838885534 25258328301 33677771068 50516656602 101033313204