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102011113000335 = 35711509173519273
BaseRepresentation
bin10111001100011101010000…
…001001110100110110001111
3111101012011111212020021210210
4113030131100021310312033
5101332322224412002320
61000543131445533503
730326026322452230
oct2714352011646617
9441164455207723
10102011113000335
112a55a740956660
12b53652b414293
1344bc7b6b4a856
141b29515589087
15bbd82320d0e0
hex5cc750274d8f

102011113000335 has 64 divisors (see below), whose sum is σ = 203892087720960. Its totient is φ = 42310939284480.

The previous prime is 102011113000333. The next prime is 102011113000361. The reversal of 102011113000335 is 533000311110201.

It is not a de Polignac number, because 102011113000335 - 21 = 102011113000333 is a prime.

It is a super-2 number, since 2×1020111130003352 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102011113000333) 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, 86171742 + ... + 87347531.

It is an arithmetic number, because the mean of its divisors is an integer number (3185813870640).

Almost surely, 2102011113000335 is an apocalyptic number.

102011113000335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

102011113000335 is a deficient number, since it is larger than the sum of its proper divisors (101880974720625).

102011113000335 is a wasteful number, since it uses less digits than its factorization.

102011113000335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173519808.

The product of its (nonzero) digits is 270, while the sum is 21.

Adding to 102011113000335 its reverse (533000311110201), we get a palindrome (635011424110536).

The spelling of 102011113000335 in words is "one hundred two trillion, eleven billion, one hundred thirteen million, three hundred thirty-five", and thus it is an aban number.

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 165 231 385 509 1155 1527 2545 3563 5599 7635 10689 16797 17815 27995 39193 53445 83985 117579 195965 587895 173519273 520557819 867596365 1214634911 1908712003 2602789095 3643904733 5726136009 6073174555 9543560015 13360984021 18219523665 28630680045 40082952063 66804920105 88321309957 200414760315 264963929871 441606549785 618249169699 971534409527 1324819649355 1854747509097 2914603228581 3091245848495 4857672047635 6800740866689 9273737545485 14573016142905 20402222600067 34003704333445 102011113000335