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103121001330 = 23537293317071
BaseRepresentation
bin110000000001001111…
…1011001101101110010
3100212011200100122012120
41200002133121231302
53142142434020310
6115212332535110
710310302022514
oct1400237315562
9325150318176
10103121001330
113a808131646
1217b9b021496
1399552ab8a9
144dc3763bb4
152a38230b70
hex18027d9b72

103121001330 has 64 divisors (see below), whose sum is σ = 255047643648. Its totient is φ = 26664318720.

The previous prime is 103121001323. The next prime is 103121001383. The reversal of 103121001330 is 33100121301.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166695 + ... + 483765.

It is an arithmetic number, because the mean of its divisors is an integer number (3985119432).

Almost surely, 2103121001330 is an apocalyptic number.

103121001330 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 103121001330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127523821824).

103121001330 is an abundant number, since it is smaller than the sum of its proper divisors (151926642318).

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

103121001330 is a wasteful number, since it uses less digits than its factorization.

103121001330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317411.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 103121001330 its reverse (33100121301), we get a palindrome (136221122631).

The spelling of 103121001330 in words is "one hundred three billion, one hundred twenty-one million, one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 293 370 555 586 879 1110 1465 1758 2930 4395 8790 10841 21682 32523 54205 65046 108410 162615 317071 325230 634142 951213 1585355 1902426 3170710 4756065 9512130 11731627 23463254 35194881 58658135 70389762 92901803 117316270 175974405 185803606 278705409 351948810 464509015 557410818 929018030 1393527045 2787054090 3437366711 6874733422 10312100133 17186833555 20624200266 34373667110 51560500665 103121001330