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100152001340 = 22541494324709
BaseRepresentation
bin101110101000110000…
…1100100001100111100
3100120111202122210212222
41131101201210030330
53120102403020330
6114001552544512
710143600652046
oct1352141441474
9316452583788
10100152001340
1139524214a46
12174b0852138
1395a115c571
144bc130aa96
1529127620e5
hex175186433c

100152001340 has 48 divisors (see below), whose sum is σ = 215501247360. Its totient is φ = 39074219520.

The previous prime is 100152001303. The next prime is 100152001363. The reversal of 100152001340 is 43100251001.

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 15 ways as a sum of consecutive naturals, for example, 4040906 + ... + 4065614.

It is an arithmetic number, because the mean of its divisors is an integer number (4489609320).

Almost surely, 2100152001340 is an apocalyptic number.

100152001340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100152001340 is an abundant number, since it is smaller than the sum of its proper divisors (115349246020).

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

100152001340 is a wasteful number, since it uses less digits than its factorization.

100152001340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29702 (or 29700 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

Adding to 100152001340 its reverse (43100251001), we get a palindrome (143252252341).

The spelling of 100152001340 in words is "one hundred billion, one hundred fifty-two million, one thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 4943 9886 19772 24709 24715 49418 49430 98836 98860 123545 202663 247090 405326 494180 810652 1013069 1013315 2026138 2026630 4052276 4053260 5065345 10130690 20261380 122136587 244273174 488546348 610682935 1221365870 2442731740 5007600067 10015200134 20030400268 25038000335 50076000670 100152001340