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100432022221140 = 223547121063294179
BaseRepresentation
bin10110110101011110100111…
…000000100011000101010100
3111011121012121022100021112220
4112311132213000203011110
5101130434240142034030
6553333500054142340
730103655064343461
oct2665364700430524
9434535538307486
10100432022221140
112a000a88317245
12b3204950519b0
134406911aa3b1c
141ab2d15c20668
15b927025e3a10
hex5b57a7023154

100432022221140 has 96 divisors (see below), whose sum is σ = 287196195041280. Its totient is φ = 26211739898496.

The previous prime is 100432022221127. The next prime is 100432022221199. The reversal of 100432022221140 is 41122220234001.

It is a self number, because there is not a number n which added to its sum of digits gives 100432022221140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 341250571 + ... + 341544749.

It is an arithmetic number, because the mean of its divisors is an integer number (2991627031680).

Almost surely, 2100432022221140 is an apocalyptic number.

100432022221140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100432022221140 is an abundant number, since it is smaller than the sum of its proper divisors (186764172820140).

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

100432022221140 is a wasteful number, since it uses less digits than its factorization.

100432022221140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415301 (or 415299 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 100432022221140 its reverse (41122220234001), we get a palindrome (141554242455141).

The spelling of 100432022221140 in words is "one hundred trillion, four hundred thirty-two billion, twenty-two million, two hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1410 2820 121063 242126 294179 363189 484252 588358 605315 726378 882537 1176716 1210630 1452756 1470895 1765074 1815945 2421260 2941790 3530148 3631890 4412685 5689961 5883580 7263780 8825370 11379922 13826413 17069883 17650740 22759844 27652826 28449805 34139766 41479239 55305652 56899610 68279532 69132065 82958478 85349415 113799220 138264130 165916956 170698830 207396195 276528260 341397660 414792390 829584780 35614192277 71228384554 106842576831 142456769108 178070961385 213685153662 356141922770 427370307324 534212884155 712283845540 1068425768310 1673867037019 2136851536620 3347734074038 5021601111057 6695468148076 8369335185095 10043202222114 16738670370190 20086404444228 25108005555285 33477340740380 50216011110570 100432022221140