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31542152200 = 23521337327881
BaseRepresentation
bin11101011000000011…
…110000110000001000
310000102020010100111021
4131120003300300020
51004044242332300
622253521442224
72164433604256
oct353003606010
9100366110437
1031542152200
11124167a4889
1261434a0374
132c88a256b0
1417531a15d6
15c491ecd1a
hex7580f0c08

31542152200 has 96 divisors (see below), whose sum is σ = 81111449160. Its totient is φ = 11331532800.

The previous prime is 31542152153. The next prime is 31542152227. The reversal of 31542152200 is 225124513.

It can be written as a sum of positive squares in 12 ways, for example, as 45131524 + 31497020676 = 6718^2 + 177474^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67741 + ... + 260140.

Almost surely, 231542152200 is an apocalyptic number.

It is an amenable number.

31542152200 is an abundant number, since it is smaller than the sum of its proper divisors (49569296960).

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

31542152200 is a wasteful number, since it uses less digits than its factorization.

31542152200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327947 (or 327938 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 31542152200 its reverse (225124513), we get a palindrome (31767276713).

The spelling of 31542152200 in words is "thirty-one billion, five hundred forty-two million, one hundred fifty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 37 40 50 52 65 74 100 104 130 148 185 200 260 296 325 370 481 520 650 740 925 962 1300 1480 1850 1924 2405 2600 3700 3848 4810 7400 9620 12025 19240 24050 48100 96200 327881 655762 1311524 1639405 2623048 3278810 4262453 6557620 8197025 8524906 12131597 13115240 16394050 17049812 21312265 24263194 32788100 34099624 42624530 48526388 60657985 65576200 85249060 97052776 106561325 121315970 157710761 170498120 213122650 242631940 303289925 315421522 426245300 485263880 606579850 630843044 788553805 852490600 1213159700 1261686088 1577107610 2426319400 3154215220 3942769025 6308430440 7885538050 15771076100 31542152200