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310101999942 = 23771833733359
BaseRepresentation
bin1001000001100111000…
…01010000000101000110
31002122102112121210111010
410200303201100011012
520040042102444232
6354243042023050
731255421336250
oct4406341200506
91078375553433
10310101999942
1110a571549389
1250124647a86
132331c9acc77
141101aa56cd0
1580ee4b90cc
hex4833850146

310101999942 has 128 divisors (see below), whose sum is σ = 729615237120. Its totient is φ = 86043242880.

The previous prime is 310101999941. The next prime is 310102000001. The reversal of 310101999942 is 249999101013.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 310101999891 and 310101999900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310101999941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92318059 + ... + 92321417.

It is an arithmetic number, because the mean of its divisors is an integer number (5700119040).

Almost surely, 2310101999942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 310101999942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364807618560).

310101999942 is an abundant number, since it is smaller than the sum of its proper divisors (419513237178).

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

310101999942 is a wasteful number, since it uses less digits than its factorization.

310101999942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3898.

The product of its (nonzero) digits is 157464, while the sum is 48.

The spelling of 310101999942 in words is "three hundred ten billion, one hundred one million, nine hundred ninety-nine thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 71 83 142 166 213 249 373 426 497 498 581 746 994 1119 1162 1491 1743 2238 2611 2982 3359 3486 5222 5893 6718 7833 10077 11786 15666 17679 20154 23513 26483 30959 35358 41251 47026 52966 61918 70539 79449 82502 92877 123753 141078 158898 185381 185754 216713 238489 247506 278797 370762 433426 476978 556143 557594 650139 715467 836391 1112286 1252907 1300278 1430934 1669423 1672782 1951579 2198089 2505814 3338846 3758721 3903158 4396178 5008269 5854737 6594267 7517442 8770349 10016538 11709474 13188534 15386623 17540698 19794587 26311047 30773246 39589174 46159869 52622094 59383761 88956397 92319738 103991281 118767522 138562109 177912794 207982562 266869191 277124218 311973843 415686327 533738382 622694779 623947686 727938967 831372654 1245389558 1455877934 1868084337 2183816901 3736168674 4367633802 7383380951 14766761902 22150142853 44300285706 51683666657 103367333314 155050999971 310101999942