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100032123102010 = 251131281487214363
BaseRepresentation
bin10110101111101010001011…
…001010011110001100111010
3111010011222101122121012002121
4112233222023022132030322
5101102411242003231020
6552430042320151454
730033040156044001
oct2657521312361472
9433158348535077
10100032123102010
1129967426728170
12b276a8b76858a
1343a7cb1327208
141a9b81b1dbc38
15b870e99c5baa
hex5afa8b29e33a

100032123102010 has 128 divisors (see below), whose sum is σ = 203903420940288. Its totient is φ = 35004457152000.

The previous prime is 100032123101891. The next prime is 100032123102029. The reversal of 100032123102010 is 10201321230001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 466541089 + ... + 466755451.

It is an arithmetic number, because the mean of its divisors is an integer number (1592995476096).

Almost surely, 2100032123102010 is an apocalyptic number.

100032123102010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100032123102010 is an abundant number, since it is smaller than the sum of its proper divisors (103871297838278).

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

100032123102010 is a wasteful number, since it uses less digits than its factorization.

100032123102010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215180.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 100032123102010 its reverse (10201321230001), we get a palindrome (110233444332011).

The spelling of 100032123102010 in words is "one hundred trillion, thirty-two billion, one hundred twenty-three million, one hundred two thousand, ten".

Divisors: 1 2 5 10 11 22 31 55 62 110 155 281 310 341 487 562 682 974 1405 1705 2435 2810 3091 3410 4870 5357 6182 8711 10714 15097 15455 17422 26785 30194 30910 43555 53570 75485 87110 95821 136847 150970 166067 191642 214363 273694 332134 428726 479105 684235 830335 958210 1071815 1368470 1505317 1660670 2143630 2357993 3010634 4242257 4715986 6645253 7526585 8484514 11789965 13290506 15053170 21211285 23579930 33226265 42422570 46664827 60236003 66452530 73097783 93329654 104394781 120472006 146195566 208789562 233324135 301180015 365488915 466648270 521973905 602360030 662596033 730977830 1043947810 1148342591 1325192066 1867316093 2296685182 3236238211 3312980165 3734632186 5741712955 6472476422 6625960330 9336580465 11483425910 16181191055 18673160930 20540477023 29334933461 32362382110 35598620321 41080954046 58669866922 71197240642 102702385115 146674667305 177993101605 205404770230 293349334610 322684268071 355986203210 645368536142 909382937291 1613421340355 1818765874582 3226842680710 4546914686455 9093829372910 10003212310201 20006424620402 50016061551005 100032123102010