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100041243032430 = 232572127178622749
BaseRepresentation
bin10110101111110010101010…
…110000001111101101101110
3111010012211221020100122201100
4112233302222300033231232
5101103033431204014210
6552434151304023530
730033512156136300
oct2657625260175556
9433184836318640
10100041243032430
1129970286692947
12b2787b5a61ba6
1343a8b058a884b
141a9c044511970
15b874804925c0
hex5afcaac0fb6e

100041243032430 has 144 divisors (see below), whose sum is σ = 304956190656000. Its totient is φ = 22686517977984.

The previous prime is 100041243032363. The next prime is 100041243032431. The reversal of 100041243032430 is 34230342140001.

100041243032430 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 412 + 4 + 3 + 0 + 3 + 243 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 100041243032394 and 100041243032403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100041243032431) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 88751305 + ... + 89871444.

It is an arithmetic number, because the mean of its divisors is an integer number (2117751324000).

Almost surely, 2100041243032430 is an apocalyptic number.

100041243032430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100041243032430 is an abundant number, since it is smaller than the sum of its proper divisors (204914947623570).

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

100041243032430 is a wasteful number, since it uses less digits than its factorization.

100041243032430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178622903 (or 178622893 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 100041243032430 its reverse (34230342140001), we get a palindrome (134271585172431).

The spelling of 100041243032430 in words is "one hundred trillion, forty-one billion, two hundred forty-three million, thirty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 127 147 210 245 254 294 315 381 441 490 630 635 735 762 882 889 1143 1270 1470 1778 1905 2205 2286 2667 3810 4410 4445 5334 5715 6223 8001 8890 11430 12446 13335 16002 18669 26670 31115 37338 40005 56007 62230 80010 93345 112014 186690 280035 560070 178622749 357245498 535868247 893113745 1071736494 1250359243 1607604741 1786227490 2500718486 2679341235 3215209482 3751077729 5358682470 6251796215 7502155458 8038023705 8752514701 11253233187 12503592430 16076047410 17505029402 18755388645 22506466374 22685089123 26257544103 37510777290 43762573505 45370178246 52515088206 56266165935 68055267369 78772632309 87525147010 112532331870 113425445615 131287720515 136110534738 157545264618 158795623861 204165802107 226850891230 262575441030 317591247722 340276336845 393863161545 408331604214 476386871583 680552673690 787726323090 793978119305 952773743166 1020829010535 1111569367027 1429160614749 1587956238610 2041658021070 2223138734054 2381934357915 2858321229498 3334708101081 4763868715830 5557846835135 6669416202162 7145803073745 10004124303243 11115693670270 14291606147490 16673540505405 20008248606486 33347081010810 50020621516215 100041243032430