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10042021012401 = 337124942539941
BaseRepresentation
bin1001001000100001011100…
…0110000110001110110001
31022120000012201011212011000
42102020113012012032301
52304012024334344101
633205124001112213
72054340433143450
oct222102706061661
938500181155130
1010042021012401
113221885080644
121162264628669
1357ac5cb312c1
1426a071ca4b97
1512633908d486
hex922171863b1

10042021012401 has 32 divisors (see below), whose sum is σ = 17015976800000. Its totient is φ = 5733703272960.

The previous prime is 10042021012399. The next prime is 10042021012403. The reversal of 10042021012401 is 10421012024001.

10042021012401 is a `hidden beast` number, since 1 + 0 + 0 + 42 + 0 + 210 + 12 + 401 = 666.

It is an interprime number because it is at equal distance from previous prime (10042021012399) and next prime (10042021012403).

It is not a de Polignac number, because 10042021012401 - 21 = 10042021012399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10042021012403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21033910 + ... + 21506031.

It is an arithmetic number, because the mean of its divisors is an integer number (531749275000).

Almost surely, 210042021012401 is an apocalyptic number.

It is an amenable number.

10042021012401 is a deficient number, since it is larger than the sum of its proper divisors (6973955787599).

10042021012401 is a wasteful number, since it uses less digits than its factorization.

10042021012401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42541206 (or 42541200 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10042021012401 its reverse (10421012024001), we get a palindrome (20463033036402).

The spelling of 10042021012401 in words is "ten trillion, forty-two billion, twenty-one million, twelve thousand, four hundred one".

Divisors: 1 3 7 9 21 27 63 189 1249 3747 8743 11241 26229 33723 78687 236061 42539941 127619823 297779587 382859469 893338761 1148578407 2680016283 8040048849 53132386309 159397158927 371926704163 478191476781 1115780112489 1434574430343 3347340337467 10042021012401