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10230320001132 = 223271120171829743
BaseRepresentation
bin1001010011011110111010…
…0101101111000001101100
31100020000020120221120201200
42110313232211233001230
52320103143410014012
633431424422005500
72104054603142130
oct224675645570154
940200216846650
1010230320001132
113294721a338a0
121192855576890
1359293ac2136a
14275215d573c0
1512b1aa1513dc
hex94dee96f06c

10230320001132 has 144 divisors (see below), whose sum is σ = 32257010752512. Its totient is φ = 2655907107840.

The previous prime is 10230320001103. The next prime is 10230320001151. The reversal of 10230320001132 is 23110002303201.

10230320001132 is a `hidden beast` number, since 1 + 0 + 230 + 320 + 0 + 0 + 113 + 2 = 666.

It is a super-2 number, since 2×102303200011322 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4676253 + ... + 6505995.

Almost surely, 210230320001132 is an apocalyptic number.

10230320001132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10230320001132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16128505376256).

10230320001132 is an abundant number, since it is smaller than the sum of its proper divisors (22026690751380).

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

10230320001132 is a wasteful number, since it uses less digits than its factorization.

10230320001132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1831788 (or 1831783 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10230320001132 its reverse (23110002303201), we get a palindrome (33340322304333).

The spelling of 10230320001132 in words is "ten trillion, two hundred thirty billion, three hundred twenty million, one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2017 2772 4034 6051 8068 12102 14119 18153 22187 24204 28238 36306 42357 44374 56476 66561 72612 84714 88748 127071 133122 155309 169428 199683 254142 266244 310618 399366 465927 508284 621236 798732 931854 1397781 1829743 1863708 2795562 3659486 5489229 5591124 7318972 10978458 12808201 16467687 20127173 21956916 25616402 32935374 38424603 40254346 51232804 60381519 65870748 76849206 80508692 115273809 120763038 140890211 153698412 181144557 230547618 241526076 281780422 362289114 422670633 461095236 563560844 724578228 845341266 1268011899 1690682532 2536023798 3690591631 5072047596 7381183262 11071774893 14762366524 22143549786 25834141417 33215324679 40596507941 44287099572 51668282834 66430649358 77502424251 81193015882 103336565668 121789523823 132861298716 155004848502 162386031764 232507272753 243579047646 284175555587 310009697004 365368571469 465014545506 487158095292 568351111174 730737142938 852526666761 930029091012 1136702222348 1461474285876 1705053333522 2557580000283 3410106667044 5115160000566 10230320001132