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100641411416 = 237131031134087
BaseRepresentation
bin101110110111010110…
…0100001000101011000
3100121202212120102022002
41131232230201011120
53122103200131131
6114122314420132
710161662611430
oct1355654410530
9317685512262
10100641411416
11397554a8a87
1217608731648
13964b677420
144c2a3072c0
1529406d76cb
hex176eb21158

100641411416 has 64 divisors (see below), whose sum is σ = 232476410880. Its totient is φ = 39775271040.

The previous prime is 100641411407. The next prime is 100641411421. The reversal of 100641411416 is 614114146001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 683525 + ... + 817611.

It is an arithmetic number, because the mean of its divisors is an integer number (3632443920).

Almost surely, 2100641411416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100641411416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116238205440).

100641411416 is an abundant number, since it is smaller than the sum of its proper divisors (131834999464).

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

100641411416 is a wasteful number, since it uses less digits than its factorization.

100641411416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135144 (or 135140 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

Adding to 100641411416 its reverse (614114146001), we get a palindrome (714755557417).

The spelling of 100641411416 in words is "one hundred billion, six hundred forty-one million, four hundred eleven thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 1031 2062 4124 7217 8248 13403 14434 26806 28868 53612 57736 93821 107224 134087 187642 268174 375284 536348 750568 938609 1072696 1743131 1877218 3486262 3754436 6972524 7508872 12201917 13945048 24403834 48807668 97615336 138243697 276487394 552974788 967705879 1105949576 1797168061 1935411758 3594336122 3870823516 7188672244 7741647032 12580176427 14377344488 25160352854 50320705708 100641411416