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13541322102 = 23711312114481
BaseRepresentation
bin11001001110010000…
…00010110101110110
31021221201101102210020
430213020002311312
5210213034301402
610115405310010
7656365224120
oct144710026566
937851342706
1013541322102
1158197a57a0
12275ab65306
13137a594339
149265da210
15543c2d8bc
hex327202d76

13541322102 has 128 divisors (see below), whose sum is σ = 35027582976. Its totient is φ = 3386880000.

The previous prime is 13541322061. The next prime is 13541322121. The reversal of 13541322102 is 20122314531.

It is a super-2 number, since 2×135413221022 (a number of 21 digits) contains 22 as substring.

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, 3019702 + ... + 3024182.

It is an arithmetic number, because the mean of its divisors is an integer number (273652992).

Almost surely, 213541322102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13541322102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17513791488).

13541322102 is an abundant number, since it is smaller than the sum of its proper divisors (21486260874).

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

13541322102 is a wasteful number, since it uses less digits than its factorization.

13541322102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4746.

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 13541322102 its reverse (20122314531), we get a palindrome (33663636633).

The spelling of 13541322102 in words is "thirteen billion, five hundred forty-one million, three hundred twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 7 11 14 21 22 31 33 42 62 66 77 93 154 186 211 217 231 341 422 434 462 633 651 682 1023 1266 1302 1477 2046 2321 2387 2954 4431 4481 4642 4774 6541 6963 7161 8862 8962 13082 13443 13926 14322 16247 19623 26886 31367 32494 39246 45787 48741 49291 62734 71951 91574 94101 97482 98582 137361 138911 143902 147873 188202 215853 274722 277822 295746 345037 416733 431706 503657 690074 833466 945491 972377 1007314 1035111 1510971 1528021 1890982 1944754 2070222 2836473 2917131 3021942 3056042 4584063 5672946 5834262 6618437 9168126 10400401 10696147 13236874 19855311 20800802 21392294 29310221 31201203 32088441 39710622 58620442 62402406 64176882 72802807 87930663 145605614 175861326 205171547 218408421 322412431 410343094 436816842 615514641 644824862 967237293 1231029282 1934474586 2256887017 4513774034 6770661051 13541322102