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21452411313102 = 237114110651106331
BaseRepresentation
bin1001110000010110001110…
…10110110001101111001110
32210221211102102120212111010
410320023013112301233032
510302434014244004402
6113343033545110050
74342612515340020
oct470130726615716
983854372525433
1021452411313102
116920a09a17620
1224a5755188326
13bc7c523a76c3
14542433520010
1527305e3e8a6c
hex1382c75b1bce

21452411313102 has 128 divisors (see below), whose sum is σ = 54802063282176. Its totient is φ = 5435589600000.

The previous prime is 21452411313049. The next prime is 21452411313107. The reversal of 21452411313102 is 20131311425412.

It is a super-2 number, since 2×214524113131022 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21452411313102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21452411313107) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 201698077 + ... + 201804407.

It is an arithmetic number, because the mean of its divisors is an integer number (428141119392).

Almost surely, 221452411313102 is an apocalyptic number.

21452411313102 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 21452411313102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27401031641088).

21452411313102 is an abundant number, since it is smaller than the sum of its proper divisors (33349651969074).

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

21452411313102 is a wasteful number, since it uses less digits than its factorization.

21452411313102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117046.

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 21452411313102 its reverse (20131311425412), we get a palindrome (41583722738514).

The spelling of 21452411313102 in words is "twenty-one trillion, four hundred fifty-two billion, four hundred eleven million, three hundred thirteen thousand, one hundred two".

Divisors: 1 2 3 6 7 11 14 21 22 33 41 42 66 77 82 123 154 231 246 287 451 462 574 861 902 1353 1722 2706 3157 6314 9471 10651 18942 21302 31953 63906 74557 106331 117161 149114 212662 223671 234322 318993 351483 436691 447342 637986 702966 744317 820127 873382 1169641 1310073 1488634 1640254 2232951 2339282 2460381 2620146 3056837 3508923 4359571 4465902 4803601 4920762 6113674 7017846 8187487 8719142 9170511 9607202 13078713 14410803 16374974 18341022 24562461 26157426 28821606 30516997 33625207 47955281 49124922 61033994 67250414 91550991 95910562 100875621 143865843 183101982 201751242 287731686 335686967 671373934 1007060901 1132531481 2014121802 2265062962 3397594443 6795188886 7927720367 12457846291 15855440734 23783161101 24915692582 37373538873 46433790721 47566322202 74747077746 87204924037 92867581442 139301372163 174409848074 261614772111 278602744326 325036535047 510771697931 523229544222 650073070094 975109605141 1021543395862 1532315093793 1950219210282 3064630187586 3575401885517 7150803771034 10726205656551 21452411313102