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101002121106 = 23712213107137
BaseRepresentation
bin101111000010000110…
…0100000111110010010
3100122201000022100222020
41132010030200332102
53123323020333411
6114222201552310
710203632602245
oct1360414407622
9318630270866
10101002121106
1139920078567
12176a94a5696
1396a8310203
144c621a125c
1529621d9606
hex1784320f92

101002121106 has 32 divisors (see below), whose sum is σ = 204943851648. Its totient is φ = 33177876480.

The previous prime is 101002121039. The next prime is 101002121107. The reversal of 101002121106 is 601121200101.

It is a happy number.

It is a super-2 number, since 2×1010021211062 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101002121107) 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, 889170 + ... + 996306.

It is an arithmetic number, because the mean of its divisors is an integer number (6404495364).

Almost surely, 2101002121106 is an apocalyptic number.

101002121106 is an abundant number, since it is smaller than the sum of its proper divisors (103941730542).

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

101002121106 is a wasteful number, since it uses less digits than its factorization.

101002121106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109426.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 101002121106 its reverse (601121200101), we get a palindrome (702123321207).

The spelling of 101002121106 in words is "one hundred one billion, two million, one hundred twenty-one thousand, one hundred six".

Divisors: 1 2 3 6 71 142 213 426 2213 4426 6639 13278 107137 157123 214274 314246 321411 471369 642822 942738 7606727 15213454 22820181 45640362 237094181 474188362 711282543 1422565086 16833686851 33667373702 50501060553 101002121106