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3013313121 = 3271317229439
BaseRepresentation
bin1011001110011011…
…1000001001100001
321210000002011111200
42303212320021201
522132402004441
61215001431413
7134446511310
oct26346701141
97700064450
103013313121
111306a33825
1270119b569
13390396120
142082b0277
151298237b6
hexb39b8261

3013313121 has 144 divisors (see below), whose sum is σ = 5900294400. Its totient is φ = 1441069056.

The previous prime is 3013313111. The next prime is 3013313137. The reversal of 3013313121 is 1213133103.

It is a happy number.

3013313121 is a `hidden beast` number, since 301 + 331 + 31 + 2 + 1 = 666.

It is not a de Polignac number, because 3013313121 - 27 = 3013312993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3013313094 and 3013313103.

It is not an unprimeable number, because it can be changed into a prime (3013313111) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6863820 + ... + 6864258.

Almost surely, 23013313121 is an apocalyptic number.

It is an amenable number.

3013313121 is a deficient number, since it is larger than the sum of its proper divisors (2886981279).

3013313121 is a wasteful number, since it uses less digits than its factorization.

3013313121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 3013313121 is about 54893.6528298127. The cubic root of 3013313121 is about 1444.3798492282.

Adding to 3013313121 its reverse (1213133103), we get a palindrome (4226446224).

The spelling of 3013313121 in words is "three billion, thirteen million, three hundred thirteen thousand, one hundred twenty-one".

Divisors: 1 3 7 9 13 17 21 29 39 51 63 87 91 117 119 153 203 221 261 273 289 357 377 439 493 609 663 819 867 1071 1131 1317 1479 1547 1827 1989 2023 2601 2639 3073 3393 3451 3757 3951 4437 4641 5707 6069 6409 7463 7917 8381 9219 10353 11271 12731 13923 17121 18207 19227 22389 23751 25143 26299 27657 31059 33813 38193 39949 44863 51363 52241 57681 58667 67167 75429 78897 89117 97019 108953 114579 119847 126871 134589 156723 165503 176001 216427 236691 267351 291057 326859 359541 380613 403767 470169 496509 528003 649281 679133 762671 802053 873171 888097 980577 1141839 1158521 1489527 1514989 1649323 1947843 2037399 2288013 2664291 2813551 3475563 3679259 4544967 4947969 6112197 6864039 7992873 8440653 10426689 11037777 11545261 13634901 14843907 19694857 25321959 25754813 33113331 34635783 47830367 59084571 77264439 103907349 143491101 177253713 231793317 334812569 430473303 1004437707 3013313121