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1022312113002 = 232163379941977
BaseRepresentation
bin11101110000001101000…
…11001110001101101010
310121201202200121012111200
432320012203032031222
5113222143400104002
62101351012305030
7133600563404115
oct16700643161552
93551680535450
101022312113002
11364618599704
1214616a312176
1375532999b7b
14376a183157c
151b8d5497b1c
hexee068ce36a

1022312113002 has 96 divisors (see below), whose sum is σ = 2239142892480. Its totient is φ = 337082135040.

The previous prime is 1022312112971. The next prime is 1022312113019. The reversal of 1022312113002 is 2003112132201.

1022312113002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10223121130022 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1046378338 + ... + 1046379314.

It is an arithmetic number, because the mean of its divisors is an integer number (23324405130).

Almost surely, 21022312113002 is an apocalyptic number.

1022312113002 is an abundant number, since it is smaller than the sum of its proper divisors (1216830779478).

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

1022312113002 is a wasteful number, since it uses less digits than its factorization.

1022312113002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2468 (or 2465 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1022312113002 its reverse (2003112132201), we get a palindrome (3025424245203).

The spelling of 1022312113002 in words is "one trillion, twenty-two billion, three hundred twelve million, one hundred thirteen thousand, two".

Divisors: 1 2 3 6 9 18 163 326 379 489 758 941 977 978 1137 1467 1882 1954 2274 2823 2931 2934 3411 5646 5862 6822 8469 8793 16938 17586 61777 123554 153383 159251 185331 306766 318502 356639 370283 370662 460149 477753 555993 713278 740566 919357 920298 955506 1069917 1110849 1111986 1380447 1433259 1838714 2139834 2221698 2758071 2760894 2866518 3209751 3332547 5516142 6419502 6665094 8274213 16548426 58132157 60356129 116264314 120712258 149855191 174396471 181068387 299710382 348436303 348792942 362136774 449565573 523189413 543205161 696872606 899131146 1045308909 1046378826 1086410322 1348696719 2090617818 2697393438 3135926727 6271853454 56795117389 113590234778 170385352167 340770704334 511156056501 1022312113002