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30103133001312 = 2537233119333763
BaseRepresentation
bin1101101100000111011101…
…00011001001011001100000
310221120211110002122001120110
412312003232203021121200
512421202204022020222
6144005104405211320
76224610461421300
oct666035643113140
9127524402561513
1030103133001312
119656737879438
123462232400b40
1313a493705cb07
14760ddc555600
153730b90ca30c
hex1b60ee8c9660

30103133001312 has 144 divisors (see below), whose sum is σ = 92199781783872. Its totient is φ = 8574910122240.

The previous prime is 30103133001241. The next prime is 30103133001343. The reversal of 30103133001312 is 21310033130103.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8109858 + ... + 11223905.

It is an arithmetic number, because the mean of its divisors is an integer number (640276262388).

Almost surely, 230103133001312 is an apocalyptic number.

30103133001312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

30103133001312 is an abundant number, since it is smaller than the sum of its proper divisors (62096648782560).

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

30103133001312 is a wasteful number, since it uses less digits than its factorization.

30103133001312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19334121 (or 19334106 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 30103133001312 its reverse (21310033130103), we get a palindrome (51413166131415).

The spelling of 30103133001312 in words is "thirty trillion, one hundred three billion, one hundred thirty-three million, one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 331 336 392 588 662 672 784 993 1176 1324 1568 1986 2317 2352 2648 3972 4634 4704 5296 6951 7944 9268 10592 13902 15888 16219 18536 27804 31776 32438 37072 48657 55608 64876 74144 97314 111216 129752 194628 222432 259504 389256 519008 778512 1557024 19333763 38667526 58001289 77335052 116002578 135336341 154670104 232005156 270672682 309340208 406009023 464010312 541345364 618680416 812018046 928020624 947354387 1082690728 1624036092 1856041248 1894708774 2165381456 2842063161 3248072184 3789417548 4330762912 5684126322 6399475553 6496144368 7578835096 11368252644 12798951106 12992288736 15157670192 19198426659 22736505288 25597902212 30315340384 38396853318 44796328871 45473010576 51195804424 76793706636 89592657742 90946021152 102391608848 134388986613 153587413272 179185315484 204783217696 268777973226 307174826544 313574302097 358370630968 537555946452 614349653088 627148604194 716741261936 940722906291 1075111892904 1254297208388 1433482523872 1881445812582 2150223785808 2508594416776 3762891625164 4300447571616 5017188833552 7525783250328 10034377667104 15051566500656 30103133001312