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1110302130132 = 22331364311092
BaseRepresentation
bin10000001010000011001…
…010011111111111010100
310221010212212100012111000
4100022003022133333110
5121142344321131012
62210022111543300
7143134215250236
oct20120312377724
93833785305430
101110302130132
11398970674928
1215b225b2ab30
138091625ac70
143ba4b7d6256
151dd3513dddc
hex1028329ffd4

1110302130132 has 144 divisors (see below), whose sum is σ = 3107612159680. Its totient is φ = 340792541568.

The previous prime is 1110302130109. The next prime is 1110302130149. The reversal of 1110302130132 is 2310312030111.

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 47 ways as a sum of consecutive naturals, for example, 1001173594 + ... + 1001174702.

Almost surely, 21110302130132 is an apocalyptic number.

1110302130132 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 1110302130132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553806079840).

1110302130132 is an abundant number, since it is smaller than the sum of its proper divisors (1997310029548).

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

1110302130132 is a wasteful number, since it uses less digits than its factorization.

1110302130132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2887 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1110302130132 its reverse (2310312030111), we get a palindrome (3420614160243).

The spelling of 1110302130132 in words is "one trillion, one hundred ten billion, three hundred two million, one hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 643 702 1109 1286 1404 1929 2218 2572 3327 3858 4436 5787 6654 7716 8359 9981 11574 13308 14417 16718 17361 19962 23148 25077 28834 29943 33436 34722 39924 43251 50154 57668 59886 69444 75231 86502 100308 119772 129753 150462 173004 225693 259506 300924 389259 451386 519012 713087 778518 902772 1229881 1426174 1557036 2139261 2459762 2852348 3689643 4278522 4919524 6417783 7379286 8557044 9270131 11068929 12835566 14758572 15988453 18540262 19253349 22137858 25671132 27810393 31976906 33206787 37080524 38506698 44275716 47965359 55620786 63953812 66413574 77013396 83431179 95930718 111241572 132827148 143896077 166862358 191861436 250293537 287792154 333724716 431688231 500587074 575584308 790813483 863376462 1001174148 1581626966 1726752924 2372440449 3163253932 4744880898 7117321347 9489761796 10280575279 14234642694 20561150558 21351964041 28469285388 30841725837 41122301116 42703928082 61683451674 85407856164 92525177511 123366903348 185050355022 277575532533 370100710044 555151065066 1110302130132