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101032032330032 = 24175332592150453
BaseRepresentation
bin10110111110001101011010…
…011001011110000100110000
3111020201120100001012220211112
4112332031122121132010300
5101220302100234030112
6554513250325132452
730165215642203466
oct2676153231360460
9436646301186745
10101032032330032
112a2124983947a1
12b3b882725a128
13444b38386060b
141ad3d95576836
15ba311d2aba22
hex5be35a65e130

101032032330032 has 80 divisors (see below), whose sum is σ = 211239784565280. Its totient is φ = 46633084932096.

The previous prime is 101032032329927. The next prime is 101032032330037. The reversal of 101032032330032 is 230033230230101.

It is not an unprimeable number, because it can be changed into a prime (101032032330037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45906518 + ... + 48056970.

It is an arithmetic number, because the mean of its divisors is an integer number (2640497307066).

Almost surely, 2101032032330032 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 101032032330032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105619892282640).

101032032330032 is an abundant number, since it is smaller than the sum of its proper divisors (110207752235248).

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

101032032330032 is a wasteful number, since it uses less digits than its factorization.

101032032330032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2153790 (or 2153784 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 101032032330032 its reverse (230033230230101), we get a palindrome (331065262560133).

The spelling of 101032032330032 in words is "one hundred one trillion, thirty-two billion, thirty-two million, three hundred thirty thousand, thirty-two".

Divisors: 1 2 4 8 16 17 34 53 68 106 136 212 272 424 848 901 1802 3259 3604 6518 7208 13036 14416 26072 52144 55403 110806 172727 221612 345454 443224 690908 886448 1381816 2150453 2763632 2936359 4300906 5872718 8601812 11745436 17203624 23490872 34407248 36557701 46981744 73115402 113974009 146230804 227948018 292461608 455896036 584923216 911792072 1823584144 1937558153 3875116306 7008326327 7750232612 14016652654 15500465224 28033305308 31000930448 56066610616 112133221232 119141547559 238283095118 371441295331 476566190236 742882590662 953132380472 1485765181324 1906264760944 2971530362648 5943060725296 6314502020627 12629004041254 25258008082508 50516016165016 101032032330032