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1303103313030 = 235434098233001
BaseRepresentation
bin10010111101100111000…
…000101001010010000110
311121120112111210002101210
4102331213000221102012
5132322223422004110
62434345402232250
7163101054255261
oct22754700512206
94546474702353
101303103313030
11462708937202
121906727b5686
1395b6101243c
14470db7a5cd8
1523d6b5c5520
hex12f67029486

1303103313030 has 128 divisors (see below), whose sum is σ = 3212971914240. Its totient is φ = 338059008000.

The previous prime is 1303103313023. The next prime is 1303103313041. The reversal of 1303103313030 is 303133013031.

It is a junction number, because it is equal to n+sod(n) for n = 1303103312988 and 1303103313006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 434221530 + ... + 434224530.

It is an arithmetic number, because the mean of its divisors is an integer number (25101343080).

Almost surely, 21303103313030 is an apocalyptic number.

1303103313030 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 1303103313030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606485957120).

1303103313030 is an abundant number, since it is smaller than the sum of its proper divisors (1909868601210).

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

1303103313030 is a wasteful number, since it uses less digits than its factorization.

1303103313030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4286.

The product of its (nonzero) digits is 729, while the sum is 21.

Adding to 1303103313030 its reverse (303133013031), we get a palindrome (1606236326061).

The spelling of 1303103313030 in words is "one trillion, three hundred three billion, one hundred three million, three hundred thirteen thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 215 258 409 430 645 818 823 1227 1290 1646 2045 2454 2469 3001 4090 4115 4938 6002 6135 8230 9003 12270 12345 15005 17587 18006 24690 30010 35174 35389 45015 52761 70778 87935 90030 105522 106167 129043 175870 176945 212334 258086 263805 336607 353890 387129 527610 530835 645215 673214 774258 1009821 1061670 1227409 1290430 1683035 1935645 2019642 2454818 2469823 3366070 3682227 3871290 4939646 5049105 6137045 7364454 7409469 10098210 12274090 12349115 14474101 14818938 18411135 24698230 28948202 36822270 37047345 43422303 52778587 72370505 74094690 86844606 105557174 106202389 144741010 158335761 212404778 217111515 263892935 316671522 318607167 434223030 527785870 531011945 637214334 791678805 1010157607 1062023890 1583357610 1593035835 2020315214 3030472821 3186071670 5050788035 6060945642 10101576070 15152364105 30304728210 43436777101 86873554202 130310331303 217183885505 260620662606 434367771010 651551656515 1303103313030