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143402213130 = 235113724148733
BaseRepresentation
bin1000010110001101110…
…0000001111100001010
3111201010221120012202220
42011203130001330022
54322141431310010
6145513355034510
713234432462011
oct2054334017412
9451127505686
10143402213130
11558a88a1230
122396113ba36
13106a46b1267
146d25413a78
153ae4764970
hex2163701f0a

143402213130 has 128 divisors (see below), whose sum is σ = 387208394496. Its totient is φ = 33683558400.

The previous prime is 143402213111. The next prime is 143402213131. The reversal of 143402213130 is 31312204341.

It is a happy number.

It is a super-3 number, since 3×1434022131303 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 143402213130.

It is not an unprimeable number, because it can be changed into a prime (143402213131) 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, 2918244 + ... + 2966976.

It is an arithmetic number, because the mean of its divisors is an integer number (3025065582).

Almost surely, 2143402213130 is an apocalyptic number.

143402213130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 143402213130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193604197248).

143402213130 is an abundant number, since it is smaller than the sum of its proper divisors (243806181366).

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

143402213130 is a wasteful number, since it uses less digits than its factorization.

143402213130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49032.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 143402213130 its reverse (31312204341), we get a palindrome (174714417471).

The spelling of 143402213130 in words is "one hundred forty-three billion, four hundred two million, two hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 222 241 330 370 407 482 555 723 814 1110 1205 1221 1446 2035 2410 2442 2651 3615 4070 5302 6105 7230 7953 8917 12210 13255 15906 17834 26510 26751 39765 44585 48733 53502 79530 89170 97466 98087 133755 146199 196174 243665 267510 292398 294261 487330 490435 536063 588522 730995 980870 1072126 1461990 1471305 1608189 1803121 2680315 2942610 3216378 3606242 5360630 5409363 8040945 9015605 10818726 11744653 16081890 18031210 19834331 23489306 27046815 35233959 39668662 54093630 58723265 59502993 70467918 99171655 117446530 119005986 129191183 176169795 198343310 258382366 297514965 352339590 387573549 434552161 595029930 645955915 775147098 869104322 1291911830 1303656483 1937867745 2172760805 2607312966 3875735490 4345521610 4780073771 6518282415 9560147542 13036564830 14340221313 23900368855 28680442626 47800737710 71701106565 143402213130