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2131133301099 = 32112337151116741
BaseRepresentation
bin11111000000110001011…
…100011000000101101011
321112201211100021202102200
4133000301130120011223
5234404030111113344
64311010142431243
7306653320113165
oct37006134300553
97481740252380
102131133301099
1175189920a8a0
122a5040292523
13125c7117926a
147520c685935
153a6805a4069
hex1f03171816b

2131133301099 has 96 divisors (see below), whose sum is σ = 3601459749888. Its totient is φ = 1201182048000.

The previous prime is 2131133301043. The next prime is 2131133301109. The reversal of 2131133301099 is 9901033311312.

2131133301099 is a `hidden beast` number, since 2 + 1 + 311 + 3 + 330 + 1 + 0 + 9 + 9 = 666.

It is not a de Polignac number, because 2131133301099 - 211 = 2131133299051 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2131133301029) 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 95 ways as a sum of consecutive naturals, for example, 127291869 + ... + 127308609.

It is an arithmetic number, because the mean of its divisors is an integer number (37515205728).

Almost surely, 22131133301099 is an apocalyptic number.

2131133301099 is a deficient number, since it is larger than the sum of its proper divisors (1470326448789).

2131133301099 is a wasteful number, since it uses less digits than its factorization.

2131133301099 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18329 (or 18326 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 36.

The spelling of 2131133301099 in words is "two trillion, one hundred thirty-one billion, one hundred thirty-three million, three hundred one thousand, ninety-nine".

Divisors: 1 3 9 11 23 33 37 69 99 111 207 253 333 407 759 851 1221 1511 2277 2553 3663 4533 7659 9361 13599 16621 16741 28083 34753 49863 50223 55907 84249 104259 149589 150669 167721 184151 312777 382283 385043 503163 552453 614977 619417 1146849 1155129 1285861 1657359 1844931 1858251 3440547 3465387 3857583 4235473 5534793 5574753 6813587 11572749 12706419 14144471 14246591 20440761 25295651 38119257 42433413 42739773 61322283 75886953 127300239 128219319 156712501 227660859 278252161 470137503 581799973 834756483 935939087 1410412509 1745399919 2504269449 2807817261 5236199757 6399799703 8423451783 10295329957 19199399109 21526599001 30885989871 57598197327 64579797003 92657969613 193739391009 236792589011 710377767033 2131133301099