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1133331000021 = 34112177195803
BaseRepresentation
bin10000011111011111110…
…010101010101011010101
311000100022210020000010000
4100133133302222223111
5122032030214000041
62224351200321513
7144610666360503
oct20373762525325
94010283200100
101133331000021
113a7708892700
12163792313299
1382b462b78ac
143cbd407b673
151e731c52bb6
hex107dfcaaad5

1133331000021 has 120 divisors (see below), whose sum is σ = 1998138808512. Its totient is φ = 637351545600.

The previous prime is 1133330999939. The next prime is 1133331000031. The reversal of 1133331000021 is 1200001333311.

It is a happy number.

1133331000021 is a `hidden beast` number, since 1 + 1 + 333 + 310 + 0 + 0 + 0 + 21 = 666.

It is not a de Polignac number, because 1133331000021 - 29 = 1133330999509 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1133330999958 and 1133331000003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133331000031) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 11781906 + ... + 11877708.

Almost surely, 21133331000021 is an apocalyptic number.

1133331000021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1133331000021 is a deficient number, since it is larger than the sum of its proper divisors (864807808491).

1133331000021 is a wasteful number, since it uses less digits than its factorization.

1133331000021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95925 (or 95905 counting only the distinct ones).

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

Adding to 1133331000021 its reverse (1200001333311), we get a palindrome (2333332333332).

The spelling of 1133331000021 in words is "one trillion, one hundred thirty-three billion, three hundred thirty-one million, twenty-one", and thus it is an aban number.

Divisors: 1 3 9 11 17 27 33 51 71 81 99 121 153 187 213 297 363 459 561 639 781 891 1089 1207 1377 1683 1917 2057 2343 3267 3621 5049 5751 6171 7029 8591 9801 10863 13277 15147 18513 21087 25773 32589 39831 55539 63261 77319 95803 97767 119493 146047 166617 231957 287409 358479 438141 695871 862227 1053833 1075437 1314423 1628651 2586681 3161499 3943269 4885953 6802013 7760043 9484497 11592163 11829807 14657859 17915161 20406039 28453491 34776489 43973577 53745483 61218117 74822143 85360473 104329467 115634221 131920731 161236449 183654351 197066771 224466429 312988401 346902663 483709347 550963053 591200313 673399287 823043573 938965203 1040707989 1271976431 1451128041 1773600939 2020197861 2469130719 3122123967 3815929293 5320802817 6060593583 7407392157 9366371901 11447787879 13991740741 15962408451 22222176471 34343363637 41975222223 66666529413 103030090911 125925666669 377777000007 1133331000021