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103022013332 = 22731911033583
BaseRepresentation
bin101111111110010010…
…1110010101110010100
3100211220210002112012102
41133330211302232110
53141442113411312
6115154435141232
710304660444000
oct1377445625624
9324823075172
10103022013332
113a767271487
1217b71a44818
13993a930904
144db4557700
152a2e6caec2
hex17fc972b94

103022013332 has 96 divisors (see below), whose sum is σ = 221577216000. Its totient is φ = 41778900576.

The previous prime is 103022013319. The next prime is 103022013337. The reversal of 103022013332 is 233310220301.

103022013332 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1030220133322 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103022013337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28751213 + ... + 28754795.

It is an arithmetic number, because the mean of its divisors is an integer number (2308096000).

Almost surely, 2103022013332 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 103022013332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110788608000).

103022013332 is an abundant number, since it is smaller than the sum of its proper divisors (118555202668).

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

103022013332 is a wasteful number, since it uses less digits than its factorization.

103022013332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4730 (or 4714 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 103022013332 its reverse (233310220301), we get a palindrome (336332233633).

The spelling of 103022013332 in words is "one hundred three billion, twenty-two million, thirteen thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 196 266 343 532 686 931 1103 1372 1862 2206 3583 3724 4412 6517 7166 7721 13034 14332 15442 20957 25081 26068 30884 41914 50162 54047 68077 83828 100324 108094 136154 146699 175567 216188 272308 293398 351134 378329 476539 586796 702268 756658 953078 1026893 1228969 1513316 1906156 2053786 2457938 3335773 3952049 4107572 4915876 6671546 7188251 7904098 13343092 14376502 15808196 23350411 27664343 28753004 46700822 55328686 75088931 93401644 110657372 150177862 193650401 300355724 387300802 525622517 774601604 1051245034 1355552807 2102490068 2711105614 3679357619 5422211228 7358715238 14717430476 25755503333 51511006666 103022013332