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100314422988 = 223131737874723
BaseRepresentation
bin101110101101100110…
…1001001111011001100
3100120221002021200111120
41131123031021323030
53120420443013423
6114030034120540
710150612345413
oct1353315117314
9316832250446
10100314422988
11395a797080a
1217537120150
1395c89ba350
144bd8b0a47a
152921b46ee3
hex175b349ecc

100314422988 has 96 divisors (see below), whose sum is σ = 253905098496. Its totient is φ = 30642077952.

The previous prime is 100314422983. The next prime is 100314423023. The reversal of 100314422988 is 889224413001.

It is not an unprimeable number, because it can be changed into a prime (100314422981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21237195 + ... + 21241917.

It is an arithmetic number, because the mean of its divisors is an integer number (2644844776).

Almost surely, 2100314422988 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 100314422988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126952549248).

100314422988 is an abundant number, since it is smaller than the sum of its proper divisors (153590675508).

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

100314422988 is a wasteful number, since it uses less digits than its factorization.

100314422988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5703 (or 5701 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

Adding to 100314422988 its reverse (889224413001), we get a palindrome (989538835989).

The spelling of 100314422988 in words is "one hundred billion, three hundred fourteen million, four hundred twenty-two thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 173 346 519 692 787 1038 1574 2076 2249 2361 3148 4498 4722 4723 6747 8996 9444 9446 10231 13494 14169 18892 20462 26988 28338 30693 40924 56676 61386 61399 122772 122798 136151 184197 245596 272302 368394 408453 544604 736788 816906 817079 1633812 1634158 1769963 2451237 3268316 3539926 3717001 4902474 5309889 7079852 7434002 9804948 10619778 10622027 11151003 14868004 21239556 21244054 22302006 31866081 42488108 44604012 48321013 63732162 96642026 127464324 144963039 193284052 289926078 579852156 643041173 1286082346 1929123519 2572164692 3858247038 7716494076 8359535249 16719070498 25078605747 33438140996 50157211494 100314422988