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100201112020212 = 22374218863319691
BaseRepresentation
bin10110110010000111100011…
…101100000010010011110100
3111010210010120210001200201220
4112302013203230002103310
5101113143334134121322
6553035431055150340
730051201652124550
oct2662074354022364
9433703523050656
10100201112020212
1129a22064552645
12b2a37918153b0
1343bac02964038
141aa5a8c880860
15b8b6da6a155c
hex5b21e3b024f4

100201112020212 has 96 divisors (see below), whose sum is σ = 267868709412864. Its totient is φ = 28557575222400.

The previous prime is 100201112020133. The next prime is 100201112020249. The reversal of 100201112020212 is 212020211102001.

It is a junction number, because it is equal to n+sod(n) for n = 100201112020191 and 100201112020200.

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, 313271287 + ... + 313590977.

It is an arithmetic number, because the mean of its divisors is an integer number (2790299056384).

Almost surely, 2100201112020212 is an apocalyptic number.

100201112020212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100201112020212 is an abundant number, since it is smaller than the sum of its proper divisors (167667597392652).

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

100201112020212 is a wasteful number, since it uses less digits than its factorization.

100201112020212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328989 (or 328987 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100201112020212 its reverse (212020211102001), we get a palindrome (312221323122213).

The spelling of 100201112020212 in words is "one hundred trillion, two hundred one billion, one hundred twelve million, twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 421 842 1263 1684 2526 2947 5052 5894 8841 8863 11788 17682 17726 26589 35364 35452 53178 62041 106356 124082 186123 248164 319691 372246 639382 744492 959073 1278764 1918146 2237837 3731323 3836292 4475674 6713511 7462646 8951348 11193969 13427022 14925292 22387938 26119261 26854044 44775876 52238522 78357783 104477044 134589911 156715566 269179822 313431132 403769733 538359644 807539466 942129377 1615078932 1884258754 2826388131 2833421333 3768517508 5652776262 5666842666 8500263999 11305552524 11333685332 17000527998 19833949331 34001055996 39667898662 59501847993 79335797324 119003695986 238007391972 1192870381193 2385740762386 3578611143579 4771481524772 7157222287158 8350092668351 14314444574316 16700185336702 25050278005053 33400370673404 50100556010106 100201112020212