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102132402141 = 371137179241277
BaseRepresentation
bin101111100011110010…
…0001100011111011101
3100202121210010121001210
41133013210030133131
53133131343332031
6114530255455033
710243636044240
oct1370744143735
9322553117053
10102132402141
113a350095420
1217963b27479
139828533a63
144d2c343257
1529cb552746
hex17c790c7dd

102132402141 has 128 divisors (see below), whose sum is σ = 176704450560. Its totient is φ = 50935910400.

The previous prime is 102132402121. The next prime is 102132402157. The reversal of 102132402141 is 141204231201.

It is not a de Polignac number, because 102132402141 - 25 = 102132402109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102132402121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 368708895 + ... + 368709171.

It is an arithmetic number, because the mean of its divisors is an integer number (1380503520).

Almost surely, 2102132402141 is an apocalyptic number.

102132402141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102132402141 is a deficient number, since it is larger than the sum of its proper divisors (74572048419).

102132402141 is a wasteful number, since it uses less digits than its factorization.

102132402141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 102132402141 its reverse (141204231201), we get a palindrome (243336633342).

The spelling of 102132402141 in words is "one hundred two billion, one hundred thirty-two million, four hundred two thousand, one hundred forty-one".

Divisors: 1 3 7 11 21 33 37 77 111 179 231 241 259 277 407 537 723 777 831 1221 1253 1687 1939 1969 2651 2849 3047 3759 5061 5817 5907 6623 7953 8547 8917 9141 10249 13783 18557 19869 21329 26751 30747 41349 43139 46361 49583 55671 62419 63987 66757 71743 72853 98087 112739 129417 139083 148749 187257 200271 215229 218559 294261 301973 338217 347081 467299 474529 509971 545413 686609 734327 789173 905919 1041243 1401897 1423587 1529913 1596143 1636239 1834571 2059827 2202981 2367519 2470009 3321703 3817891 4788429 5140289 5503713 7410027 9965109 11173001 11453673 11949503 12841997 15420867 17290063 17557573 20180281 27170099 33519003 35848509 38525991 51870189 52672719 60540843 81510297 83646521 122903011 131444533 141261967 190190693 250939563 368709033 394333599 423785901 442131611 570572079 920111731 1326394833 2760335193 3094921277 4863447721 9284763831 14590343163 34044134047 102132402141