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32130232122000 = 2435323232827769
BaseRepresentation
bin1110100111000111001110…
…00100100111101010010000
311012202121202010020212121010
413103203213010213222100
513202410203410401000
6152200231434330520
76524222050563165
oct723434704475220
9135677663225533
1032130232122000
11a26839a443731
12372b079889a40
1314c0b3899b22c
147d117c08a06c
153aabab1bbd50
hex1d38e7127a90

32130232122000 has 160 divisors (see below), whose sum is σ = 108091689189120. Its totient is φ = 8195537433600.

The previous prime is 32130232121993. The next prime is 32130232122007. The reversal of 32130232122000 is 22123203123.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (32130232121993) and next prime (32130232122007).

It is not an unprimeable number, because it can be changed into a prime (32130232122007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116275885 + ... + 116551884.

It is an arithmetic number, because the mean of its divisors is an integer number (675573057432).

Almost surely, 232130232122000 is an apocalyptic number.

32130232122000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32130232122000 is an abundant number, since it is smaller than the sum of its proper divisors (75961457067120).

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

32130232122000 is a wasteful number, since it uses less digits than its factorization.

32130232122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232827818 (or 232827802 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 32130232122000 its reverse (22123203123), we get a palindrome (32152355325123).

The spelling of 32130232122000 in words is "thirty-two trillion, one hundred thirty billion, two hundred thirty-two million, one hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 40 46 48 50 60 69 75 80 92 100 115 120 125 138 150 184 200 230 240 250 276 300 345 368 375 400 460 500 552 575 600 690 750 920 1000 1104 1150 1200 1380 1500 1725 1840 2000 2300 2760 2875 3000 3450 4600 5520 5750 6000 6900 8625 9200 11500 13800 17250 23000 27600 34500 46000 69000 138000 232827769 465655538 698483307 931311076 1164138845 1396966614 1862622152 2328277690 2793933228 3492416535 3725244304 4656555380 5355038687 5587866456 5820694225 6984833070 9313110760 10710077374 11175732912 11641388450 13969666140 16065116061 17462082675 18626221520 21420154748 23282776900 26775193435 27939332280 29103471125 32130232122 34924165350 42840309496 46565553800 53550386870 55878664560 58206942250 64260464244 69848330700 80325580305 85680618992 87310413375 93131107600 107100773740 116413884500 128520928488 133875967175 139696661400 160651160610 174620826750 214201547480 232827769000 257041856976 267751934350 279393322800 321302321220 349241653500 401627901525 428403094960 465655538000 535503868700 642604642440 669379835875 698483307000 803255803050 1071007737400 1285209284880 1338759671750 1396966614000 1606511606100 2008139507625 2142015474800 2677519343500 3213023212200 4016279015250 5355038687000 6426046424400 8032558030500 10710077374000 16065116061000 32130232122000