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1130301003132 = 223471879265231
BaseRepresentation
bin10000011100101011001…
…100001001010101111100
311000001111121202012210000
4100130223030021111330
5122004324024100012
62223130401114300
7144442625001360
oct20345314112574
94001447665700
101130301003132
113a63a34a4144
12163087628990
138278262c922
143c9c78a72a0
151e605c35ddc
hex1072b30957c

1130301003132 has 120 divisors (see below), whose sum is σ = 3378758620160. Its totient is φ = 322770057120.

The previous prime is 1130301003103. The next prime is 1130301003233. The reversal of 1130301003132 is 2313001030311.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4128957 + ... + 4394187.

Almost surely, 21130301003132 is an apocalyptic number.

1130301003132 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 1130301003132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689379310080).

1130301003132 is an abundant number, since it is smaller than the sum of its proper divisors (2248457617028).

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

1130301003132 is a wasteful number, since it uses less digits than its factorization.

1130301003132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267133 (or 267122 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1130301003132 its reverse (2313001030311), we get a palindrome (3443302033443).

The spelling of 1130301003132 in words is "one trillion, one hundred thirty billion, three hundred one million, three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 1879 2268 3758 5637 7516 11274 13153 16911 22548 26306 33822 39459 50733 52612 67644 78918 101466 118377 152199 157836 202932 236754 265231 304398 355131 473508 530462 608796 710262 795693 1060924 1065393 1420524 1591386 1856617 2130786 2387079 3182772 3713234 4261572 4774158 5569851 7161237 7426468 9548316 11139702 14322474 16709553 21483711 22279404 28644948 33419106 42967422 50128659 66838212 85934844 100257318 150385977 200514636 300771954 498369049 601543908 996738098 1495107147 1993476196 2990214294 3488583343 4485321441 5980428588 6977166686 8970642882 10465750029 13455964323 13954333372 17941285764 20931500058 26911928646 31397250087 40367892969 41863000116 53823857292 62794500174 80735785938 94191750261 125589000348 161471571876 188383500522 282575250783 376767001044 565150501566 1130301003132