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100000143232 = 27113113117489
BaseRepresentation
bin101110100100001111…
…0010001011110000000
3100120010011220121201121
41131020132101132000
53114300014040412
6113534530042024
710140045123043
oct1351036213600
9316104817647
10100000143232
1139456523780
1217469a19314
13957885c9b2
144ba909ac5a
152904267107
hex1748791780

100000143232 has 128 divisors (see below), whose sum is σ = 226065945600. Its totient is φ = 43650048000.

The previous prime is 100000143211. The next prime is 100000143241. The reversal of 100000143232 is 232341000001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 5709144 + ... + 5726632.

It is an arithmetic number, because the mean of its divisors is an integer number (1766140200).

Almost surely, 2100000143232 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 100000143232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113032972800).

100000143232 is an abundant number, since it is smaller than the sum of its proper divisors (126065802368).

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

100000143232 is a wasteful number, since it uses less digits than its factorization.

100000143232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17676 (or 17664 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 100000143232 its reverse (232341000001), we get a palindrome (332341143233).

The spelling of 100000143232 in words is "one hundred billion, one hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 128 131 176 248 262 341 352 496 524 682 704 992 1048 1364 1408 1441 1984 2096 2728 2882 3968 4061 4192 5456 5764 8122 8384 10912 11528 16244 16768 17489 21824 23056 32488 34978 43648 44671 46112 64976 69956 89342 92224 129952 139912 178684 184448 192379 259904 279824 357368 384758 519808 542159 559648 714736 769516 1084318 1119296 1429472 1539032 2168636 2238592 2291059 2858944 3078064 4337272 4582118 5717888 5963749 6156128 8674544 9164236 11927498 12312256 17349088 18328472 23854996 24624512 25201649 34698176 36656944 47709992 50403298 69396352 71022829 73313888 95419984 100806596 142045658 146627776 190839968 201613192 284091316 293255552 381679936 403226384 568182632 763359872 781251119 806452768 1136365264 1562502238 1612905536 2272730528 3125004476 3225811072 4545461056 6250008952 9090922112 12500017904 25000035808 50000071616 100000143232