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101121113320000 = 265412232067071
BaseRepresentation
bin10110111111100000011000…
…000010011110101001000000
3111021001002021020211002012021
4112333200120002132221000
5101223232020002220000
6555022222000011224
730204521312134504
oct2677403002365100
9437032236732167
10101121113320000
112a247250279a64
12b411b48300b14
1344568ac161577
141ad84063aa304
15ba55d3b0411a
hex5bf81809ea40

101121113320000 has 140 divisors (see below), whose sum is σ = 250952644647936. Its totient is φ = 40415352640000.

The previous prime is 101121113319979. The next prime is 101121113320009. The reversal of 101121113320000 is 23311121101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (101121113320009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47886465 + ... + 49953535.

Almost surely, 2101121113320000 is an apocalyptic number.

101121113320000 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 101121113320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125476322323968).

101121113320000 is an abundant number, since it is smaller than the sum of its proper divisors (149831531327936).

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

101121113320000 is an equidigital number, since it uses as much as digits as its factorization.

101121113320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2068326 (or 2068301 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 101121113320000 its reverse (23311121101), we get a palindrome (101144424441101).

The spelling of 101121113320000 in words is "one hundred one trillion, one hundred twenty-one billion, one hundred thirteen million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1223 1250 1600 2000 2446 2500 4000 4892 5000 6115 8000 9784 10000 12230 19568 20000 24460 30575 39136 40000 48920 61150 78272 97840 122300 152875 195680 244600 305750 391360 489200 611500 764375 978400 1223000 1528750 1956800 2067071 2446000 3057500 4134142 4892000 6115000 8268284 9784000 10335355 12230000 16536568 20670710 24460000 33073136 41341420 48920000 51676775 66146272 82682840 103353550 132292544 165365680 206707100 258383875 330731360 413414200 516767750 661462720 826828400 1033535500 1291919375 1653656800 2067071000 2528027833 2583838750 3307313600 4134142000 5056055666 5167677500 8268284000 10112111332 10335355000 12640139165 16536568000 20224222664 20670710000 25280278330 40448445328 41341420000 50560556660 63200695825 80896890656 82682840000 101121113320 126401391650 161793781312 202242226640 252802783300 316003479125 404484453280 505605566600 632006958250 808968906560 1011211133200 1264013916500 1580017395625 2022422266400 2528027833000 3160034791250 4044844532800 5056055666000 6320069582500 10112111332000 12640139165000 20224222664000 25280278330000 50560556660000 101121113320000