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2132011102032 = 243272972934151
BaseRepresentation
bin11111000001100101110…
…000111010111101010000
321112211002112000122221100
4133001211300322331100
5234412324320231112
64311233221024400
7310014136233450
oct37014560727520
97484075018840
102132011102032
117521a975a709
122a5246255100
13126080c9c5b6
14752930a3d60
153a6d26982dc
hex1f065c3af50

2132011102032 has 120 divisors (see below), whose sum is σ = 7054191181440. Its totient is φ = 588140985600.

The previous prime is 2132011102031. The next prime is 2132011102043. The reversal of 2132011102032 is 2302011102312.

It is a super-2 number, since 2×21320111020322 (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 a junction number, because it is equal to n+sod(n) for n = 2132011101996 and 2132011102014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132011102031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36437844 + ... + 36496307.

It is an arithmetic number, because the mean of its divisors is an integer number (58784926512).

Almost surely, 22132011102032 is an apocalyptic number.

It is an amenable number.

2132011102032 is an abundant number, since it is smaller than the sum of its proper divisors (4922180079408).

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

2132011102032 is a wasteful number, since it uses less digits than its factorization.

2132011102032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72934201 (or 72934192 counting only the distinct ones).

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

Adding to 2132011102032 its reverse (2302011102312), we get a palindrome (4434022204344).

The spelling of 2132011102032 in words is "two trillion, one hundred thirty-two billion, eleven million, one hundred two thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 36 42 48 56 58 63 72 84 87 112 116 126 144 168 174 203 232 252 261 336 348 406 464 504 522 609 696 812 1008 1044 1218 1392 1624 1827 2088 2436 3248 3654 4176 4872 7308 9744 14616 29232 72934151 145868302 218802453 291736604 437604906 510539057 583473208 656407359 875209812 1021078114 1166946416 1312814718 1531617171 1750419624 2042156228 2115090379 2625629436 3063234342 3500839248 4084312456 4230180758 4594851513 5251258872 6126468684 6345271137 8168624912 8460361516 9189703026 10502517744 12252937368 12690542274 14805632653 16920723032 18379406052 19035813411 24505874736 25381084548 29611265306 33841446064 36758812104 38071626822 44416897959 50762169096 59222530612 73517624208 76143253644 88833795918 101524338192 118445061224 133250693877 152286507288 177667591836 236890122448 266501387754 304573014576 355335183672 533002775508 710670367344 1066005551016 2132011102032