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1102032414 = 2327193491319
BaseRepresentation
bin100000110101111…
…1010111000011110
32211210200001021100
41001223322320132
54224110014124
6301204213530
736211056330
oct10153727036
92753601240
101102032414
1151608329a
1226909a2a6
13147412ab2
14a650b450
1566b381c9
hex41afae1e

1102032414 has 96 divisors (see below), whose sum is σ = 2882880000. Its totient is φ = 297214272.

The previous prime is 1102032409. The next prime is 1102032439. The reversal of 1102032414 is 4142302011.

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 834847 + ... + 836165.

It is an arithmetic number, because the mean of its divisors is an integer number (30030000).

Almost surely, 21102032414 is an apocalyptic number.

1102032414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1102032414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441440000).

1102032414 is an abundant number, since it is smaller than the sum of its proper divisors (1780847586).

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

1102032414 is a wasteful number, since it uses less digits than its factorization.

1102032414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702 (or 1699 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1102032414 is about 33196.8735576108. The cubic root of 1102032414 is about 1032.9154881073.

Adding to 1102032414 its reverse (4142302011), we get a palindrome (5244334425).

It can be divided in two parts, 11020 and 32414, that added together give a palindrome (43434).

The spelling of 1102032414 in words is "one billion, one hundred two million, thirty-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 349 399 698 798 1047 1197 1319 2094 2394 2443 2638 3141 3957 4886 6282 6631 7329 7914 9233 11871 13262 14658 18466 19893 21987 23742 25061 27699 39786 43974 46417 50122 55398 59679 75183 83097 92834 119358 139251 150366 166194 175427 225549 278502 350854 417753 451098 460331 526281 835506 920662 1052562 1380993 1578843 2761986 3157686 3222317 4142979 6444634 8285958 8746289 9666951 17492578 19333902 26238867 29000853 52477734 58001706 61224023 78716601 122448046 157433202 183672069 367344138 551016207 1102032414