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1107214327206 = 2321319373667657
BaseRepresentation
bin10000000111001011000…
…111011101110110100110
310220211220200002120011200
4100013023013131312212
5121120033331432311
62204351445343330
7142664542332321
oct20071307356646
93824820076150
101107214327206
11397626693889
1215a703a07b46
1380543613840
143b8376957b8
151dc04004556
hex101cb1ddda6

1107214327206 has 96 divisors (see below), whose sum is σ = 2726768684640. Its totient is φ = 321884969472.

The previous prime is 1107214327201. The next prime is 1107214327217. The reversal of 1107214327206 is 6027234127011.

1107214327206 is a `hidden beast` number, since 1 + 10 + 7 + 2 + 1 + 432 + 7 + 206 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1107214327201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1324530 + ... + 1992186.

It is an arithmetic number, because the mean of its divisors is an integer number (28403840465).

Almost surely, 21107214327206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1107214327206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363384342320).

1107214327206 is an abundant number, since it is smaller than the sum of its proper divisors (1619554357434).

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

1107214327206 is a wasteful number, since it uses less digits than its factorization.

1107214327206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668070 (or 668067 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 1107214327206 in words is "one trillion, one hundred seven billion, two hundred fourteen million, three hundred twenty-seven thousand, two hundred six".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 234 247 342 373 494 741 746 1119 1482 2223 2238 3357 4446 4849 6714 7087 9698 14174 14547 21261 29094 42522 43641 63783 87282 92131 127566 184262 276393 552786 667657 829179 1335314 1658358 2002971 4005942 6008913 8679541 12017826 12685483 17359082 25370966 26038623 38056449 52077246 76112898 78115869 114169347 156231738 164911279 228338694 249036061 329822558 494733837 498072122 747108183 989467674 1484201511 1494216366 2241324549 2968403022 3237468793 4482649098 4731685159 6474937586 9463370318 9712406379 14195055477 19424812758 28390110954 29137219137 42585166431 58274438274 61511907067 85170332862 123023814134 184535721201 369071442402 553607163603 1107214327206