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201243342102 = 231137616312141
BaseRepresentation
bin1011101101101100001…
…0011011010100010110
3201020102222212000012220
42323123002123110112
511244121243421402
6232241103123210
720352666120045
oct2733302332426
9636388760186
10201243342102
117838a690560
1233003ba3506
1315c91aaa46a
149a5129455c
15537c6c1dbc
hex2edb09b516

201243342102 has 128 divisors (see below), whose sum is σ = 459276604416. Its totient is φ = 58242240000.

The previous prime is 201243342073. The next prime is 201243342119.

It is a happy number.

201243342102 is nontrivially palindromic in base 10.

It is a congruent number.

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, 93993952 + ... + 93996092.

It is an arithmetic number, because the mean of its divisors is an integer number (3588098472).

Almost surely, 2201243342102 is an apocalyptic number.

201243342102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 201243342102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229638302208).

201243342102 is an abundant number, since it is smaller than the sum of its proper divisors (258033262314).

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

201243342102 is a wasteful number, since it uses less digits than its factorization.

201243342102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2886.

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 201243 and 342102, that added together give a palindrome (543345).

The spelling of 201243342102 in words is "two hundred one billion, two hundred forty-three million, three hundred forty-two thousand, one hundred two".

Divisors: 1 2 3 6 11 22 33 37 61 66 74 111 122 183 222 366 407 631 671 814 1221 1262 1342 1893 2013 2141 2257 2442 3786 4026 4282 4514 6423 6771 6941 12846 13542 13882 20823 23347 23551 24827 38491 41646 46694 47102 49654 70041 70653 74481 76982 79217 115473 130601 140082 141306 148962 158434 230946 237651 256817 261202 391803 423401 475302 513634 770451 783606 846802 871387 1270203 1350971 1424167 1436611 1540902 1742774 2540406 2614161 2701942 2848334 2873222 4052913 4272501 4309833 4832237 5228322 8105826 8545002 8619666 9664474 14496711 14860681 15665837 28993422 29721362 31331674 44582043 46997511 49985927 53154607 82409231 89164086 93995022 99971854 106309214 149957781 159463821 164818462 247227693 299915562 318927642 494455386 549845197 906501541 1099690394 1649535591 1813003082 2719504623 3049141547 3299071182 5439009246 6098283094 9147424641 18294849282 33540557017 67081114034 100621671051 201243342102