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101210557140 = 223257117302349
BaseRepresentation
bin101111001000010011…
…1101000101011010100
3100200020112112000110100
41132100213220223110
53124234400312030
6114255005254100
710212043353420
oct1362047505324
9320215460410
10101210557140
1139a177a2650
1217747264330
13970c55c244
144c81b3bb80
15297565d360
hex17909e8ad4

101210557140 has 144 divisors (see below), whose sum is σ = 382759977600. Its totient is φ = 21030762240.

The previous prime is 101210557039. The next prime is 101210557181. The reversal of 101210557140 is 41755012101.

101210557140 is a `hidden beast` number, since 101 + 2 + 1 + 0 + 557 + 1 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3637315 + ... + 3665034.

It is an arithmetic number, because the mean of its divisors is an integer number (2658055400).

Almost surely, 2101210557140 is an apocalyptic number.

101210557140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101210557140 is an abundant number, since it is smaller than the sum of its proper divisors (281549420460).

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

101210557140 is a wasteful number, since it uses less digits than its factorization.

101210557140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7302382 (or 7302377 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 27.

Adding to 101210557140 its reverse (41755012101), we get a palindrome (142965569241).

The spelling of 101210557140 in words is "one hundred one billion, two hundred ten million, five hundred fifty-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 630 660 693 770 924 990 1155 1260 1386 1540 1980 2310 2772 3465 4620 6930 13860 7302349 14604698 21907047 29209396 36511745 43814094 51116443 65721141 73023490 80325839 87628188 102232886 109535235 131442282 146046980 153349329 160651678 204465772 219070470 240977517 255582215 262884564 306698658 321303356 328605705 401629195 438140940 460047987 481955034 511164430 562280873 613397316 657211410 722932551 766746645 803258390 920095974 963910068 1022328860 1124561746 1204887585 1314422820 1445865102 1533493290 1606516780 1686842619 1840191948 2249123492 2300239935 2409775170 2811404365 2891730204 3066986580 3373685238 3614662755 4600479870 4819550340 5060527857 5622808730 6747370476 7229325510 8434213095 9200959740 10121055714 11245617460 14458651020 16868426190 20242111428 25302639285 33736852380 50605278570 101210557140