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1302130101132 = 2232737791767767
BaseRepresentation
bin10010111100101101000…
…000001000101110001100
311121111000200111210122200
4102330231000020232030
5132313230301214012
62434105035041500
7163034666144640
oct22745500105614
94544020453580
101302130101132
1146225954a753
121904408a0290
1395a374c4303
144704842cc20
1523d10e363dc
hex12f2d008b8c

1302130101132 has 144 divisors (see below), whose sum is σ = 3912282716160. Its totient is φ = 357399858816.

The previous prime is 1302130101131. The next prime is 1302130101179. The reversal of 1302130101132 is 2311010312031.

1302130101132 is a `hidden beast` number, since 1 + 302 + 130 + 101 + 132 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1302130101131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147288 + ... + 1620479.

Almost surely, 21302130101132 is an apocalyptic number.

1302130101132 is a gapful number since it is divisible by the number (12) 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 1302130101132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1956141358080).

1302130101132 is an abundant number, since it is smaller than the sum of its proper divisors (2610152615028).

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

1302130101132 is a wasteful number, since it uses less digits than its factorization.

1302130101132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767900 (or 1767895 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1302130101132 its reverse (2311010312031), we get a palindrome (3613140413163).

The spelling of 1302130101132 in words is "one trillion, three hundred two billion, one hundred thirty million, one hundred one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 79 84 111 126 148 158 222 237 252 259 316 333 444 474 518 553 666 711 777 948 1036 1106 1332 1422 1554 1659 2212 2331 2844 2923 3108 3318 4662 4977 5846 6636 8769 9324 9954 11692 17538 19908 20461 26307 35076 40922 52614 61383 81844 105228 122766 184149 245532 368298 736596 1767767 3535534 5303301 7071068 10606602 12374369 15909903 21213204 24748738 31819806 37123107 49497476 63639612 65407379 74246214 111369321 130814758 139653593 148492428 196222137 222738642 261629516 279307186 392444274 418960779 445477284 457851653 558614372 588666411 784888548 837921558 915703306 977575151 1177332822 1256882337 1373554959 1675843116 1831406612 1955150302 2354665644 2513764674 2747109918 2932725453 3910300604 4120664877 5027529348 5167182941 5494219836 5865450906 8241329754 8798176359 10334365882 11730901812 15501548823 16482659508 17596352718 20668731764 31003097646 35192705436 36170280587 46504646469 62006195292 72340561174 93009292938 108510841761 144681122348 186018585876 217021683522 325532525283 434043367044 651065050566 1302130101132