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101133001112 = 231113389227257
BaseRepresentation
bin101111000101111111…
…1110010000110011000
3100200001010120202120212
41132023333302012120
53124110022013422
6114243155110252
710210112216513
oct1361377620630
9320033522525
10101133001112
1139987a40660
12177252a2388
1396c94763c0
144c7570dd7a
15296d93d9e2
hex178bff2198

101133001112 has 64 divisors (see below), whose sum is σ = 223349162400. Its totient is φ = 42324157440.

The previous prime is 101133001093. The next prime is 101133001141. The reversal of 101133001112 is 211100331101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 331388 + ... + 558644.

Almost surely, 2101133001112 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 101133001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111674581200).

101133001112 is an abundant number, since it is smaller than the sum of its proper divisors (122216161288).

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

101133001112 is a wasteful number, since it uses less digits than its factorization.

101133001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227676 (or 227672 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 101133001112 its reverse (211100331101), we get a palindrome (312233332213).

The spelling of 101133001112 in words is "one hundred one billion, one hundred thirty-three million, one thousand, one hundred twelve".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 389 572 778 1144 1556 3112 4279 5057 8558 10114 17116 20228 34232 40456 55627 111254 222508 227257 445016 454514 909028 1818056 2499827 2954341 4999654 5908682 9999308 11817364 19998616 23634728 32497751 64995502 88402973 129991004 176805946 259982008 353611892 707223784 972432703 1149238649 1944865406 2298477298 3889730812 4596954596 7779461624 9193909192 12641625139 25283250278 50566500556 101133001112