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100210214214210 = 235281283409102701
BaseRepresentation
bin10110110010010000000010…
…001110001001101001000010
3111010211000002010110001120010
4112302100002032021221002
5101113321004314323320
6553043534210525350
730051643345366362
oct2662200216115102
9433730063401503
10100210214214210
1129a25a054a3721
12b2a54b1b96856
1343bba23645649
141aa62b36989a2
15b8ba6e817ae0
hex5b2402389a42

100210214214210 has 128 divisors (see below), whose sum is σ = 242807838347520. Its totient is φ = 26468402688000.

The previous prime is 100210214214199. The next prime is 100210214214211. The reversal of 100210214214210 is 12412412012001.

It is not an unprimeable number, because it can be changed into a prime (100210214214211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 975695860 + ... + 975798560.

It is an arithmetic number, because the mean of its divisors is an integer number (1896936237090).

Almost surely, 2100210214214210 is an apocalyptic number.

100210214214210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100210214214210 is an abundant number, since it is smaller than the sum of its proper divisors (142597624133310).

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

100210214214210 is a wasteful number, since it uses less digits than its factorization.

100210214214210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103684.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 100210214214210 its reverse (12412412012001), we get a palindrome (112622626226211).

The spelling of 100210214214210 in words is "one hundred trillion, two hundred ten billion, two hundred fourteen million, two hundred fourteen thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 281 283 409 562 566 818 843 849 1227 1405 1415 1686 1698 2045 2454 2810 2830 4090 4215 4245 6135 8430 8490 12270 79523 102701 114929 115747 159046 205402 229858 231494 238569 308103 344787 347241 397615 477138 513505 574645 578735 616206 689574 694482 795230 1027010 1149290 1157470 1192845 1540515 1723935 1736205 2385690 3081030 3447870 3472410 28858981 29064383 32524907 42004709 57717962 58128766 65049814 84009418 86576943 87193149 97574721 126014127 144294905 145321915 162624535 173153886 174386298 195149442 210023545 252028254 288589810 290643830 325249070 420047090 432884715 435965745 487873605 630070635 865769430 871931490 975747210 1260141270 8167091623 11803323229 11887332647 16334183246 23606646458 23774665294 24501274869 35409969687 35661997941 40835458115 49002549738 59016616145 59436663235 70819939374 71323995882 81670916230 118033232290 118873326470 122506374345 177049848435 178309989705 245012748690 354099696870 356619979410 3340340473807 6680680947614 10021021421421 16701702369035 20042042842842 33403404738070 50105107107105 100210214214210