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1132330013320 = 2351167259314813
BaseRepresentation
bin10000011110100100001…
…000001101001010001000
311000020202000200121111111
4100132210020031022020
5122023002440411240
62224104001540104
7144544123210102
oct20364410151210
94006660617444
101132330013320
113a7244855570
12163553044634
1382a16ac357c
143cb3b154572
151e6c3e291ea
hex107a420d288

1132330013320 has 128 divisors (see below), whose sum is σ = 2822116775040. Its totient is φ = 405426954240.

The previous prime is 1132330013317. The next prime is 1132330013357. The reversal of 1132330013320 is 233100332311.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1132330013291 and 1132330013300.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76434234 + ... + 76449046.

It is an arithmetic number, because the mean of its divisors is an integer number (22047787305).

Almost surely, 21132330013320 is an apocalyptic number.

1132330013320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1132330013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411058387520).

1132330013320 is an abundant number, since it is smaller than the sum of its proper divisors (1689786761720).

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

1132330013320 is a wasteful number, since it uses less digits than its factorization.

1132330013320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17495 (or 17491 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 1132330013320 its reverse (233100332311), we get a palindrome (1365430345631).

The spelling of 1132330013320 in words is "one trillion, one hundred thirty-two billion, three hundred thirty million, thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 67 88 110 134 220 268 335 440 536 670 737 1340 1474 2593 2680 2948 3685 5186 5896 7370 10372 12965 14740 14813 20744 25930 28523 29480 29626 51860 57046 59252 74065 103720 114092 118504 142615 148130 162943 173731 228184 285230 296260 325886 347462 570460 592520 651772 694924 814715 868655 992471 1140920 1303544 1389848 1629430 1737310 1911041 1984942 3258860 3474620 3822082 3969884 4962355 6517720 6949240 7644164 7939768 9555205 9924710 10917181 15288328 19110410 19849420 21834362 38220820 38410109 39698840 43668724 54585905 76441640 76820218 87337448 109171810 153640436 192050545 218343620 307280872 384101090 422511199 436687240 768202180 845022398 1536404360 1690044796 2112555995 2573477303 3380089592 4225111990 5146954606 8450223980 10293909212 12867386515 16900447960 20587818424 25734773030 28308250333 51469546060 56616500666 102939092120 113233001332 141541251665 226466002664 283082503330 566165006660 1132330013320