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2102012201240 = 235743238973079
BaseRepresentation
bin11110100101101001101…
…100001100100100011000
321102221122211210121101122
4132211221230030210120
5233414410110414430
64245352344304412
7304602551623340
oct36455154144430
97387584717348
102102012201240
117405050a7516
1229b473772108
131232acc00923
1473a48c63d20
1539a28bd9ee5
hex1e969b0c918

2102012201240 has 128 divisors (see below), whose sum is σ = 5533266816000. Its totient is φ = 703625384448.

The previous prime is 2102012201213. The next prime is 2102012201273. The reversal of 2102012201240 is 421022102012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28727021 + ... + 28800099.

It is an arithmetic number, because the mean of its divisors is an integer number (43228647000).

Almost surely, 22102012201240 is an apocalyptic number.

2102012201240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102012201240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2766633408000).

2102012201240 is an abundant number, since it is smaller than the sum of its proper divisors (3431254614760).

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

2102012201240 is a wasteful number, since it uses less digits than its factorization.

2102012201240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75529 (or 75525 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 2102012201240 its reverse (421022102012), we get a palindrome (2523034303252).

The spelling of 2102012201240 in words is "two trillion, one hundred two billion, twelve million, two hundred one thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 43 56 70 86 140 172 215 280 301 344 430 602 860 1204 1505 1720 2389 2408 3010 4778 6020 9556 11945 12040 16723 19112 23890 33446 47780 66892 73079 83615 95560 102727 133784 146158 167230 205454 292316 334460 365395 410908 511553 513635 584632 668920 719089 730790 821816 1023106 1027270 1438178 1461580 2046212 2054540 2557765 2876356 2923160 3142397 3595445 4092424 4109080 5115530 5752712 6284794 7190890 10231060 12569588 14381780 15711985 20462120 21996779 25139176 28763560 31423970 43993558 62847940 87987116 109983895 125695880 174585731 175974232 219967790 349171462 439935580 698342924 872928655 879871160 1222100117 1396685848 1745857310 2444200234 3491714620 4888400468 6110500585 6983429240 7507186433 9776800936 12221001170 15014372866 24442002340 30028745732 37535932165 48884004680 52550305031 60057491464 75071864330 105100610062 150143728660 210201220124 262751525155 300287457320 420402440248 525503050310 1051006100620 2102012201240