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102011132412 = 223271014007981
BaseRepresentation
bin101111100000001010…
…1100101100111111100
3100202022022221110021100
41133000111211213330
53132404322214122
6114510244333100
710240634214210
oct1370025454774
9322268843240
10102011132412
113a298696702
121792b3a4190
139809383c17
144d1a1b6940
1529c0a9aaac
hex17c05659fc

102011132412 has 72 divisors (see below), whose sum is σ = 297616711392. Its totient is φ = 28857456000.

The previous prime is 102011132407. The next prime is 102011132459. The reversal of 102011132412 is 214231110201.

102011132412 is a `hidden beast` number, since 10 + 201 + 11 + 32 + 412 = 666.

It is a super-2 number, since 2×1020111324122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1978539 + ... + 2029442.

It is an arithmetic number, because the mean of its divisors is an integer number (4133565436).

Almost surely, 2102011132412 is an apocalyptic number.

102011132412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102011132412 is an abundant number, since it is smaller than the sum of its proper divisors (195605578980).

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

102011132412 is a wasteful number, since it uses less digits than its factorization.

102011132412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4008099 (or 4008094 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 102011132412 its reverse (214231110201), we get a palindrome (316242242613).

The spelling of 102011132412 in words is "one hundred two billion, eleven million, one hundred thirty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 101 126 202 252 303 404 606 707 909 1212 1414 1818 2121 2828 3636 4242 6363 8484 12726 25452 4007981 8015962 12023943 16031924 24047886 28055867 36071829 48095772 56111734 72143658 84167601 112223468 144287316 168335202 252502803 336670404 404806081 505005606 809612162 1010011212 1214418243 1619224324 2428836486 2833642567 3643254729 4857672972 5667285134 7286509458 8500927701 11334570268 14573018916 17001855402 25502783103 34003710804 51005566206 102011132412