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101221214064 = 24322750918251
BaseRepresentation
bin101111001000101000…
…0010010011101110000
3100200021021120110000020
41132101100102131300
53124300112322224
6114300025523440
710212233060235
oct1362120223560
9320237513006
10101221214064
1139a22811323
121774a943580
139711820b09
144c8331378c
152976565c79
hex1791412770

101221214064 has 80 divisors (see below), whose sum is σ = 263170477440. Its totient is φ = 33523936000.

The previous prime is 101221214051. The next prime is 101221214077. The reversal of 101221214064 is 460412122101.

It is an interprime number because it is at equal distance from previous prime (101221214051) and next prime (101221214077).

It is a super-2 number, since 2×1012212140642 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5536939 + ... + 5555189.

It is an arithmetic number, because the mean of its divisors is an integer number (3289630968).

Almost surely, 2101221214064 is an apocalyptic number.

It is an amenable number.

101221214064 is an abundant number, since it is smaller than the sum of its proper divisors (161949263376).

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

101221214064 is a wasteful number, since it uses less digits than its factorization.

101221214064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18998 (or 18992 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 101221214064 its reverse (460412122101), we get a palindrome (561633336165).

The spelling of 101221214064 in words is "one hundred one billion, two hundred twenty-one million, two hundred fourteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 227 454 509 681 908 1018 1362 1527 1816 2036 2724 3054 3632 4072 5448 6108 8144 10896 12216 18251 24432 36502 54753 73004 109506 115543 146008 219012 231086 292016 346629 438024 462172 693258 876048 924344 1386516 1848688 2773032 4142977 5546064 8285954 9289759 12428931 16571908 18579518 24857862 27869277 33143816 37159036 49715724 55738554 66287632 74318072 99431448 111477108 148636144 198862896 222954216 445908432 2108775293 4217550586 6326325879 8435101172 12652651758 16870202344 25305303516 33740404688 50610607032 101221214064