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1030100301030 = 235233594878539
BaseRepresentation
bin11101111110101101100…
…00110011010011100110
310122110212110110011000010
432333112300303103212
5113334121134113110
62105115504231050
7134264563042503
oct16772660632346
93573773404003
101030100301030
11367954846639
1214778260b486
13761a437b458
1437bddd204aa
151bbde0a4020
hexefd6c334e6

1030100301030 has 128 divisors (see below), whose sum is σ = 2592530841600. Its totient is φ = 261449679744.

The previous prime is 1030100301017. The next prime is 1030100301031. The reversal of 1030100301030 is 301030010301.

It is a super-2 number, since 2×10301003010302 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1030100300997 and 1030100301015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030100301031) 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, 120630501 + ... + 120639039.

It is an arithmetic number, because the mean of its divisors is an integer number (20254147200).

Almost surely, 21030100301030 is an apocalyptic number.

1030100301030 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 1030100301030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296265420800).

1030100301030 is an abundant number, since it is smaller than the sum of its proper divisors (1562430540570).

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

1030100301030 is a wasteful number, since it uses less digits than its factorization.

1030100301030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9418.

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 1030100301030 its reverse (301030010301), we get a palindrome (1331130311331).

The spelling of 1030100301030 in words is "one trillion, thirty billion, one hundred million, three hundred one thousand, thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 359 487 690 718 974 1077 1461 1795 2154 2435 2922 3590 4870 5385 7305 8257 8539 10770 11201 14610 16514 17078 22402 24771 25617 33603 41285 42695 49542 51234 56005 67206 82570 85390 112010 123855 128085 168015 174833 196397 247710 256170 336030 349666 392794 524499 589191 874165 981985 1048998 1178382 1748330 1963970 2622495 2945955 3065501 4021159 4158493 5244990 5891910 6131002 8042318 8316986 9196503 12063477 12475479 15327505 18393006 20105795 20792465 24126954 24950958 30655010 40211590 41584930 45982515 60317385 62377395 70506523 91965030 95645339 120634770 124754790 141013046 191290678 211519569 286936017 352532615 423039138 478226695 573872034 705065230 956453390 1057597845 1434680085 1492898987 2115195690 2869360170 2985797974 4478696961 7464494935 8957393922 14928989870 22393484805 34336676701 44786969610 68673353402 103010030103 171683383505 206020060206 343366767010 515050150515 1030100301030