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101344344102 = 2351783147787
BaseRepresentation
bin101111001100010010…
…1111111100000100110
3100200120212021002200000
41132120211333200212
53130023123002402
6114320145002130
710215256466031
oct1363045774046
9320525232600
10101344344102
1139a86270791
1217784023346
1397311a2621
144c95806018
152982288c1c
hex179897f826

101344344102 has 96 divisors (see below), whose sum is σ = 244013357952. Its totient is φ = 31411027584.

The previous prime is 101344344089. The next prime is 101344344107. The reversal of 101344344102 is 201443443101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101344344107) 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, 611853 + ... + 759639.

It is an arithmetic number, because the mean of its divisors is an integer number (2541805812).

Almost surely, 2101344344102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101344344102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122006678976).

101344344102 is an abundant number, since it is smaller than the sum of its proper divisors (142669013850).

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

101344344102 is a wasteful number, since it uses less digits than its factorization.

101344344102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147904 (or 147892 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 101344344102 its reverse (201443443101), we get a palindrome (302787787203).

The spelling of 101344344102 in words is "one hundred one billion, three hundred forty-four million, three hundred forty-four thousand, one hundred two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 83 102 153 162 166 243 249 306 459 486 498 747 918 1377 1411 1494 2241 2754 2822 4131 4233 4482 6723 8262 8466 12699 13446 20169 25398 38097 40338 76194 114291 147787 228582 295574 342873 443361 685746 886722 1330083 2512379 2660166 3990249 5024758 7537137 7980498 11970747 12266321 15074274 22611411 23941494 24532642 35912241 36798963 45222822 67834233 71824482 73597926 110396889 135668466 203502699 208527457 220793778 331190667 407005398 417054914 610508097 625582371 662381334 993572001 1221016194 1251164742 1876747113 1987144002 2980716003 3753494226 5630241339 5961432006 11260482678 16890724017 33781448034 50672172051 101344344102