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102035201466 = 23114361758271
BaseRepresentation
bin101111100000111000…
…1011001110110111010
3100202101000020021210210
41133001301121312322
53132432002421331
6114512504251550
710241345621322
oct1370161316672
9322330207723
10102035201466
113a300236090
1217937470bb6
139811360473
144d1d480282
1529c2c52446
hex17c1c59dba

102035201466 has 64 divisors (see below), whose sum is σ = 228172640256. Its totient is φ = 30151228800.

The previous prime is 102035201449. The next prime is 102035201483. The reversal of 102035201466 is 664102530201.

It is an interprime number because it is at equal distance from previous prime (102035201449) and next prime (102035201483).

It is a super-2 number, since 2×1020352014662 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1721911 + ... + 1780181.

It is an arithmetic number, because the mean of its divisors is an integer number (3565197504).

Almost surely, 2102035201466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102035201466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114086320128).

102035201466 is an abundant number, since it is smaller than the sum of its proper divisors (126137438790).

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

102035201466 is a wasteful number, since it uses less digits than its factorization.

102035201466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58947.

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 102035201466 its reverse (664102530201), we get a palindrome (766137731667).

The spelling of 102035201466 in words is "one hundred two billion, thirty-five million, two hundred one thousand, four hundred sixty-six".

Divisors: 1 2 3 6 11 22 33 43 66 86 129 258 473 617 946 1234 1419 1851 2838 3702 6787 13574 20361 26531 40722 53062 58271 79593 116542 159186 174813 291841 349626 583682 640981 875523 1281962 1751046 1922943 2505653 3845886 5011306 7516959 15033918 27562183 35953207 55124366 71906414 82686549 107859621 165373098 215719242 395485277 790970554 1186455831 1545987901 2372911662 3091975802 4637963703 9275927406 17005866911 34011733822 51017600733 102035201466