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101332132020 = 223257679311839
BaseRepresentation
bin101111001011111011…
…1011010000010110100
3100200120000021122211200
41132113313122002310
53130012011211040
6114315031132500
710215050624220
oct1362767320264
9320500248750
10101332132020
1139a7a38a659
121777bb14130
13972b7b7c42
144c93d47780
152981175630
hex1797dda0b4

101332132020 has 144 divisors (see below), whose sum is σ = 351366113280. Its totient is φ = 23156264448.

The previous prime is 101332131977. The next prime is 101332132039. The reversal of 101332132020 is 20231233101.

101332132020 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 321 + 320 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101332131984 and 101332132002.

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, 8553261 + ... + 8565099.

Almost surely, 2101332132020 is an apocalyptic number.

101332132020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101332132020 is an abundant number, since it is smaller than the sum of its proper divisors (250033981260).

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

101332132020 is a wasteful number, since it uses less digits than its factorization.

101332132020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18654 (or 18649 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 101332132020 its reverse (20231233101), we get a palindrome (121563365121).

The spelling of 101332132020 in words is "one hundred one billion, three hundred thirty-two million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 6793 11839 13586 20379 23678 27172 33965 35517 40758 47356 47551 59195 61137 67930 71034 81516 82873 95102 101895 106551 118390 122274 135860 142068 142653 165746 177585 190204 203790 213102 236780 237755 244548 248619 285306 305685 331492 355170 407580 414365 426204 427959 475510 497238 532755 570612 611370 710340 713265 745857 828730 855918 951020 994476 1065510 1222740 1243095 1426530 1491714 1657460 1711836 2131020 2139795 2486190 2853060 2983428 3729285 4279590 4972380 7458570 8559180 14917140 80422327 160844654 241266981 321689308 402111635 482533962 562956289 723800943 804223270 965067924 1125912578 1206334905 1447601886 1608446540 1688868867 2251825156 2412669810 2814781445 2895203772 3377737734 3619004715 4825339620 5066606601 5629562890 6755475468 7238009430 8444344335 10133213202 11259125780 14476018860 16888688670 20266426404 25333033005 33777377340 50666066010 101332132020