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2141772003 = 33729390763
BaseRepresentation
bin111111110101000…
…1101100011100011
312112021010021212000
41333222031203203
513341243201003
6552305335043
7104034522150
oct17752154343
95467107760
102141772003
119a9a7a008
124b9337483
13281955117
14164641227
15c80691a3
hex7fa8d8e3

2141772003 has 32 divisors (see below), whose sum is σ = 3751334400. Its totient is φ = 1181664288.

The previous prime is 2141772001. The next prime is 2141772011. The reversal of 2141772003 is 3002771412.

It is a happy number.

It is not a de Polignac number, because 2141772003 - 21 = 2141772001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2141772001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189901 + ... + 200862.

It is an arithmetic number, because the mean of its divisors is an integer number (117229200).

Almost surely, 22141772003 is an apocalyptic number.

2141772003 is a deficient number, since it is larger than the sum of its proper divisors (1609562397).

2141772003 is a wasteful number, since it uses less digits than its factorization.

2141772003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390808 (or 390802 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 2141772003 is about 46279.2826543368. The cubic root of 2141772003 is about 1289.0143308863.

The spelling of 2141772003 in words is "two billion, one hundred forty-one million, seven hundred seventy-two thousand, three".

Divisors: 1 3 7 9 21 27 29 63 87 189 203 261 609 783 1827 5481 390763 1172289 2735341 3516867 8206023 10550601 11332127 24618069 33996381 73854207 79324889 101989143 237974667 305967429 713924001 2141772003