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103010341440 = 2635313461369
BaseRepresentation
bin101111111101111100…
…1010001001001000000
3100211212222010112101010
41133323321101021000
53141431121411230
6115153341040520
710304456312106
oct1377371211100
9324788115333
10103010341440
113a76071a196
1217b69b56140
1399383a5076
144db2b99c76
152a2d6729b0
hex17fbe51240

103010341440 has 112 divisors (see below), whose sum is σ = 337608184320. Its totient is φ = 26583306240.

The previous prime is 103010341439. The next prime is 103010341487. The reversal of 103010341440 is 44143010301.

It is a super-2 number, since 2×1030103414402 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1700925 + ... + 1760444.

Almost surely, 2103010341440 is an apocalyptic number.

103010341440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103010341440 is an abundant number, since it is smaller than the sum of its proper divisors (234597842880).

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

103010341440 is a wasteful number, since it uses less digits than its factorization.

103010341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3461420 (or 3461410 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 103010341440 its reverse (44143010301), we get a palindrome (147153351741).

The spelling of 103010341440 in words is "one hundred three billion, ten million, three hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 155 160 186 192 240 248 310 320 372 465 480 496 620 744 930 960 992 1240 1488 1860 1984 2480 2976 3720 4960 5952 7440 9920 14880 29760 3461369 6922738 10384107 13845476 17306845 20768214 27690952 34613690 41536428 51920535 55381904 69227380 83072856 103841070 107302439 110763808 138454760 166145712 207682140 214604878 221527616 276909520 321907317 332291424 415364280 429209756 536512195 553819040 643814634 664582848 830728560 858419512 1073024390 1107638080 1287629268 1609536585 1661457120 1716839024 2146048780 2575258536 3219073170 3322914240 3433678048 4292097560 5150517072 6438146340 6867356096 8584195120 10301034144 12876292680 17168390240 20602068288 25752585360 34336780480 51505170720 103010341440